Local behavior of solutions of quasilinear parabolic equations
From MaRDI portal
Publication:2526213
DOI10.1007/BF00281291zbMath0154.12001MaRDI QIDQ2526213
Publication date: 1967
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Related Items
Unnamed Item, Classical solutions and higher regularity for nonlinear fractional diffusion equations, Removable isolated singularities for solutions of doubly nonlinear anisotropic parabolic equations, Regularity theorems for parabolic equations, EXISTENCE RESULTS FOR L1 DATA OF SOME QUASI-LINEAR PARABOLIC PROBLEMS WITH A QUADRATIC GRADIENT TERM AND SOURCE, Pointwise estimates for degenerate parabolic equations, UNIFORM BMO ESTIMATE OF PARABOLIC EQUATIONS AND GLOBAL WELL-POSEDNESS OF THE THERMISTOR PROBLEM, Effect of a Gradient Term on the Solvability of the Heat Equation with a Supercritical Reaction with Respect to the Hardy Potential, Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations, Unnamed Item, The Fokker–Planck–Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix, Maximum principle for quasi-linear reflected backward SPDEs, Unnamed Item, Extension of two-dimensional mean curvature flow with free boundary, Interior and Boundary Continuity of Weak Solutions of Degenerate Parabolic Equations, Removable isolated singularities for solutions of anisotropic porous medium equation, Weak Harnack estimates for supersolutions to doubly degenerate parabolic equations, Exponential ergodicity for singular reflecting McKean-Vlasov SDEs, A lower spatially Lipschitz bound for solutions to fully nonlinear parabolic equations and its optimality, Generalized solutions of quasilinear differential inequalities. I. Elliptic operators, Harnack's inequality for porous medium equation with singular absorption term, Upper heat kernel estimates for nonlocal operators via Aronson's method, Harnack inequality for parabolic equations with coefficients depending on time, Critical exponents for the \(p\)-Laplace heat equations with combined nonlinearities, Expansion of positivity for doubly nonlinear parabolic equations and its application, Long-time behaviour for reaction-diffusion equations on, Unnamed Item, Heat kernel estimates on Harnack manifolds and beyond, Nonlocal time porous medium equation with fractional time derivative, Large population games with interactions through controls and common noise: convergence results and equivalence between open-loop and closed-loop controls, Asymptotic behavior of solutions for nonlinear parabolic problems with Marcinkiewicz data, Regularity properties of a doubly degenerate equation in hydrology, Nonlinear parabolic problem with/without an explosive condition on the boundary, Unnamed Item, On the existence and regularity of solutions to singular parabolic \(p\)-Laplacian equations with absorption term, Generalized parabolic problems having a gradient term with natural growth and a measure initial data, The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion, A Coupled Ligand-Receptor Bulk-Surface System on a Moving Domain: Well Posedness, Regularity, and Convergence to Equilibrium, On the Harnack inequality for antisymmetric \(s\)-harmonic functions, A regularity theorem for quasilinear parabolic systems under random perturbations, Parabolic equations with natural growth approximated by nonlocal equations, Unnamed Item, Harnack estimates for degenerate parabolic equations modeled on the subelliptic \(p\)-Laplacian, On the existence and uniqueness of solutions of parabolic equations, HARNACK-TYPE INEQUALITIES FOR THE POROUS MEDIUM EQUATION ON A MANIFOLD WITH NON-NEGATIVE RICCI CURVATURE, Unnamed Item, Space like strong unique continuation for sublinear parabolic equations, Explicit estimates on a mixed Neumann--Robin--Cauchy problem, Regularity of solutions for quasi-linear parabolic equations, Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups, What I Learnt from Emmanuele DiBenedetto, Harnack inequalities: an introduction, A Weiner-like condition for quasilinear parabolic equations, Second-Order Time Degenerate Parabolic Equations, The bidmensional stefan problem with convection: the time dependent case, Quasi-linear parabolic equations with degenerate coercivity having a quadratic gradient term, Generalized super-parabolic functions, [https://portal.mardi4nfdi.de/wiki/Publication:4140092 The Markov processes of Schr�dinger], Existence and Representation of Solutions of Parabolic Equations, Harnack Estimates and Extinction Profile for Weak Solutions of Certain Singular Parabolic Equations, On principal eigenvalues for periodic parabolic problems with optimal condition on the weight function, Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients, Sobolev Inequalities in Familiar and Unfamiliar Settings, Regularity of Weak Solutions of Parabolic Variational Inequalities, Harnack inequality for Ornstein-Uhlenbeck type operators, Convergent Nets of Parabolic and Generalized Superparabolic Functions, Lorentz Estimates for Weak Solutions of Quasi-linear Parabolic Equations with Singular Divergence-free Drifts, Regularity properties of flows through porous media: The interface, Stability of Planar Waves in the Allen–Cahn Equation, Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources, Unbeschränkte Randwerte bei parabolischen Differentialgleichungen, Teoremi d'esistenza per problemi di controllo ottimo retti da equazioni ellittiche o paraboliche, Regularity of the free boundary in a doubly degenerate parabolic equation, A limit case in nonlinear diffusion, Régularité \(L^\infty\) pour la solution d'une équation parabolique non linéaire dégénérée, Unnamed Item, Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators, Asymptotic behavior and regularity properties of strongly nonlinear parabolic equations, Local Regularity for Parabolic Nonlocal Operators, \(L^p\) estimates for the uniform norm of solutions of quasilinear SPDE's, Null controllability for the semilinear heat equation in a non-smooth domain, Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations, Removable singularities of quasilinear parabolic equations with coefficients from Kato-type classes, Bounds for the fundamental solution of a parabolic equation, Two strong laws for shrinking Brownian tubes, Obituary: In memoriam Emmanuele DiBenedetto (1947--2021), Time-dependent singularities in semilinear parabolic equations: behavior at the singularities, Some nonlinear parabolic problems with singular natural growth term, Heat kernels, upper bounds and Hardy spaces associated to the generalized Schrödinger operators, Periodic-parabolic eigenvalue problems with a large parameter and degeneration, Nonlocal filtration equations with rough kernels, Optimal stopping in mean field games, an obstacle problem approach, Local behavior of solutions of an elliptic-parabolic equation, Existence of positive solutions to nonlinear singular parabolic equations with Hardy potential, On nonlinear parabolic equations with singular lower order term, Regularizing effect for some parabolic problems with perturbed terms and irregular data, Lower estimates for densities of solutions to parabolic equations for measures, Second order local minimal-time mean field games, Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations, Estimates of the Hölder constants of generalized solutions of degenerate parabolic equations, Parabolic Harnack inequality for divergence form second order differential operators, A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash, Fundamental solution of the heat equation on an arbitrary Riemannian manifold, On the hydrodynamic limit of a Ginzburg-Landau lattice model. The law of large numbers in arbitrary dimensions, Two-dimensional Navier-Stokes flow with measures as initial vorticity, Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group, A triviality result for semilinear parabolic equations, Keller-Osserman a priori estimates and the Harnack inequality for the evolution \(p\)-Laplace equation with singular absorption term, Regularity for doubly nonlinear parabolic equations, Parabolic equations with nonlinear singularities, Local behaviour of solutions to doubly nonlinear parabolic equations, Optimal control of the Fokker-Planck equation with space-dependent controls, A subelliptic analogue of Aronson-Serrin's Harnack inequality, Optimal results for parabolic problems arising in some physical models with critical growth in the gradient respect to a Hardy potential, Protection zones in periodic-parabolic problems, On a nonlinear model for tumor growth in a cellular medium, On the equivalence of parabolic Harnack inequalities and heat kernel estimates, On the length of chains in a metric space, Lipschitz regularity for viscous Hamilton-Jacobi equations with \(L^p\) terms, Estimates of heat kernels with Neumann boundary conditions, Existence and uniqueness of solutions of system governed by second order quasilinear integro-partial differential equation of parabolic type, Summability and existence results for quasilinear parabolic equations with Hardy potential term, Removability of isolated singularity for anisotropic parabolic equations with absorption, Behavior at the boundary of solutions of quasilinear parabolic equations, Existence of optimal controls for systems governed by parabolic partial differential equations with Cauchy boundary conditions, Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations, Strong regularizing effect of a gradient term in the heat equation with a weight, Non-explosion by Stratonovich noise for ODEs, Pointwise estimates of solutions to the weighted porous medium equation and the fast diffusion one via weighted Riesz potentials, Hölder estimates for second-order quasilinear degenerate parabolic systems, Harnack estimates for a quasi-linear parabolic equation with a singular weight, Some properties of nonnegative solutions of parabolic differential operators, Bounded solutions to nonlinear parabolic equations, Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations, Thermal capacity and boundary regularity, Quantitative a priori estimates for fast diffusion equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity, Gaussian estimates for hypoelliptic operators via optimal control, Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation, On doubling properties for non-negative weak solutions of elliptic and parabolic PDE, A lower bound for fundamental solutions of the heat convection equations, Boundary estimates for non-negative solutions to non-linear parabolic equations, Existence, uniqueness and ergodic properties for time-homogeneous Itô-SDEs with locally integrable drifts and Sobolev diffusion coefficients, Harnack estimates for quasi-linear degenerate parabolic differential equations, The passage of a bending wave through an inhomogeneity in an absolutely rigid rib backing an elastic plate, Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient, Hölder estimates of solutions of singular parabolic equations with measurable coefficients, A Harnack inequality for weighted degenerate parabolic equations, Quasilinear parabolic and elliptic equations with singular potentials, Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics, On a nonlinear model for tumor growth: global in time weak solutions, Un principe de maximum pour les solutions d'une classe d'inéquations paraboliques quasi-linéaires, Weak solutions to Fokker-Planck equations and mean field games, Existence, uniqueness and behavior of solutions for a class of nonlinear parabolic problems, Sul problema di Dirichlet per equazioni paraboliche del secondo ordine a coefficienti discontinui, Special fast diffusion with slow asymptotics: Entropy method and flow on a Riemannian manifold, Asymptotic stability of some quasilinear parabolic equations in divergence form. \(L^\infty\) results, On the optimal control of systems governed by quasilinear integro-partial differential equations of parabolic type, Monotonicity of generalized frequencies and the strong unique continuation property for fractional parabolic equations, Properties of solutions of linear and quasilinear second-order equations with measurable coefficients which are neither strictly nor uniformly parabolic, On the continuity of solutions of the equations of a porous medium and the fast diffusion with weighted and singular lower-order terms, Regularity results and asymptotic behavior for a noncoercive parabolic problem, Harnack estimates for weak solutions to a singular parabolic equation, Existence and regularity results for nonlinear parabolic equations with quadratic growth with respect to the gradient, A priori estimates and Harnack's inequality for generalized solutions of degenerate quasilinear parabolic equations, Cores for parabolic operators with unbounded coefficients, A multidimensional process involving local time, Summability and existence results for nonlinear parabolic equations, Estimate of the modulus of continuity of the generalized solutions of certain singular parabolic equations, Regularity and time behavior of the solutions to weak monotone parabolic equations, Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations, Maximum principle for quasi-linear backward stochastic partial differential equations, Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity, Hölder regularity for certain strongly coupled parabolic systems, Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coefficients from Kato-type classes, On a fluid model of neutron star, Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms, Averaging of nondivergent second-order equations with random coefficients, Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations, A stochastic control approach to reciprocal diffusion processes, Solutions in the large for certain nonlinear parabolic systems, Semilinear elliptic equations on rough domains, Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations, Vanishing latent heat limit in a Stefan-like problem arising in biology., Averaging error for elliptic equations with ``layered random coefficients, Some borderline cases of nonlinear parabolic equations with irregular data
Cites Work
- Unnamed Item
- Local behavior of solutions of quasi-linear equations
- Isolated singularities of solutions of quasi-linear equations
- Sulla regolarizzazione delle soluzioni deboli dei problemi al contorno per operatori parabolici
- Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico
- Extension à l'équation de la chaleur d'un théorème de A. Harnack
- Continuity of Solutions of Parabolic and Elliptic Equations
- On Harnack's theorem for elliptic differential equations
- Uniqueness of positive weak solutions of second order parabolic equations
- A harnack inequality for parabolic differential equations
- On the Green's function for second order parabolic differential equations with discontinuous coefficients
- QUASI-LINEAR SECOND-ORDER PARABOLIC EQUATIONS WITH MANY INDEPENDENT VARIABLES
- Temperature Bounds on the Infinite Rod