Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article - MaRDI portal

scientific article

From MaRDI portal
Publication:3345188

DOI10.1512/iumj.1984.33.33003zbMath0552.35045OpenAlexW4251363655MaRDI QIDQ3345188

Michel Pierre, Philippe Benilan, Michael G. Crandall

Publication date: 1984

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1984.33.33003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

Existence of solutions of degenerate parabolic equations with inhomogeneous density and growing data on manifolds, Asymptotic behavior of solutions of quasilinear parabolic equations with supercritical nonlinearity, \(C^{\infty}\)-regularity for the porous medium equation, Probabilistic approximation for a porous medium equation., \(L^{\infty}\) decay estimates of solutions of nonlinear parabolic equation, Large time estimates for solutions to the porous medium equation with nonintegrable data via comparison, The initial trace of a solution of a porous medium equation with bounded measurable coefficients, From the highly compressible Navier-Stokes equations to fast diffusion and porous media equations, existence of global weak solution for the quasi-solutions, The initial boundary value problem for the nonlinear parabolic equation in unbounded domain, Hölder continuity of nonnegative solutions to the porous medium equation, A Fatou Theorem for Solutions of the Porous Medium Equation, The porous medium equation as a finite-speed approximation to a Hamilton- Jacobi equation, A new kind of the solution of degenerate parabolic equation with unbounded convection term, On the initial growth of interfaces in reaction–diffusion equations with strong absorption, Trace imbeddings for \(T\)-sets and application to Neumann-Dirichlet problems with measures included in the boundary data, Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media, On the behaviour as t\(\to \infty\) of the solutions of the Cauchy problem for certain nonlinear parabolic equations, Existence and non-existence of a fast diffusion equation in \(\mathbb{R}^ n\), The Cauchy problem for certain degenerate quasilinear parabolic equations with absorption, Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations, Uniqueness of solutions of degenerate diffusion equations with measures as initial conditions, Proper spaces for the asymptotic convergence of solutions of porous medium equation, Solution to nonlinear parabolic equations related to \(P\)-Laplacian, Cauchy problem for nonlinear parabolic equations with a gradient term, Flat fronts and stability for the porous medium equation, Initial trace for a doubly nonlinear parabolic equation, On the Cauchy problem for nonlinear parabolic equations with variable density, Gradient estimates for porous medium and fast diffusion equations by martingale method, Improved estimates for parabolic \(p\)-Laplace type equations, General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data, Laplacian cut-offs, porous and fast diffusion on manifolds and other applications, Flatness implies smoothness for solutions of the porous medium equation, Complicated asymptotic behavior of solutions for porous medium equation in unbounded space, Optimal existence and uniqueness in a nonlinear diffusion–absorption equation with critical exponents, Complicated asymptotic behavior of solutions for a porous medium equation with nonlinear sources, Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations. II: Fast diffusion versus absorption, Study of a nonlinear elliptic-parabolic equation with measures as data: Existence regularity and behaviour near a singularity, Cauchy problem for doubly nonlinear parabolic equations with initial data measures, Traveling wave solutions of advection-diffusion equations with nonlinear diffusion, Solvability of the Heat Equation with a Nonlinear Boundary Condition, Complexity of asymptotic behavior of the porous medium equation in \({\mathbb{R}^N}\), Regularity of solutions and interfaces of a generalized porous medium equation in \(\mathbb{R}^ N\), The Hele-Shaw asymptotics for mechanical models of tumor growth, A new approach to decay estimates - application to a nonlinear and degenerate parabolic PDE, Travelling waves and finite propagation in a reaction-diffusion equation, Fundamental solution and long time behavior of the porous medium equation in hyperbolic space, A parabolic variational inequality in unbounded domains, Strong solutions for, On uniform and decay estimates for unbounded solutions of partial differential equations, The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case, Degenerate parabolic equations with initial data measures, One-dimensional super-fast diffusion: persistence versus extinction revisited -- extinction at spatial infinity, Initial-boundary value problems for nonlinear elliptic-parabolic equations with variable exponents of nonlinearity in unbounded domains without conditions at infinity, The porous medium equation with large initial data on negatively curved Riemannian manifolds, Blow-up problems for quasilinear parabolic equations, Optimal existence and uniqueness theory for the fractional heat equation, ON THE CAUCHY PROBLEM FOR THE GENERALIZED POROUS MEDIUM EQUATION, On the Cauchy problem for the fast diffusion equation, On classes of well-posedness for quasilinear diffusion equations in the whole space, Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption, The trace triple for nonnegative solutions of the porous medium equation, The Filtration Equation in a Class of Functions Decreasing at Infinity, Well-posedness of the Cauchy problem for nonlinear parabolic equations with variable density in the hyperbolic space, Quasilinear parabolic and elliptic equations with singular potentials, Study of the solutions to a model porous medium equation with variable exponent of nonlinearity, New results on the Cauchy problem for parabolic systems and equations with strongly nonlinear sources, Nonradial solvability structure of super-diffusive nonlinear parabolic equations, Large time behaviour of solutions of the porous media equation with absorption, New selfsimilar solutions of the porous medium equation and the theory of solutions of changing sign, Uniqueness of entropy solutions to fractional conservation laws with ``Fully infinite speed of propagation, On the vanishing and stability of the gradient of weak solutions of certain quasilinear parabolic equations, Existence for a degenerate Cauchy problem, Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations, Weak Solutions of the Porous Medium Equation, Weak Solutions of the Porous Medium Equation in a Cylinder, A Widder's type theorem for the heat equation with nonlocal diffusion, Unnamed Item, Doubly degenerate parabolic equation with time-dependent gradient source and initial data measures, The Initial Trace of a Solution of the Porous Medium Equation, General initial data for a class of parabolic equations including the curve shortening problem, Initial traces and solvability of Cauchy problem to a semilinear parabolic system, Self-similarity in the post-focussing regime in porous medium flows, Uniqueness of very weak solutions for a fractional filtration equation, Global solutions for bistable degenerate reaction-diffusion equation with time-delay and nonlocal effect, A remark on infinite initial values for quasilinear parabolic equations, A new approach to initial traces in nonlinear filtration, An oscillating solution for the porous medium equation, A Nonlinear heat equation with singular diffusivity, A limit case in nonlinear diffusion, LYAPUNOV FUNCTIONALS IN SINGULAR LIMITS FOR PERTURBED QUASILINEAR DEGENERATE PARABOLIC EQUATIONS, Nonlinear degenerate parabolic equations in infiltration through a porous medium, The Cauchy problem for the Finsler heat equation, Initial trace for a porous medium equation. I: The strong absorption case, Unnamed Item, Initial trace of solutions of some quasilinear parabolic equations with absorption, Stability results for hyperbolic and parabolic equations, Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity, On the asymptotic behavior of solutions of certain quasilinear parabolic equations, Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\), Classification of razor blades to the filtration equation -- the sublinear case., The porous medium equation as a singular limit of the thin film Muskat problem, Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without conditions at infinity, An inhomogeneous porous medium equation with large data: well-posedness, Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift, The porous medium equation with large data on Cartan-Hadamard manifolds under general curvature bounds, Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ}, On the speed of decay of solutions to some partial differential equations, Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure, Qualitative Properties of Solutions of Degenerate Parabolic Equations via Energy Approaches, Unnamed Item, Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise, Existence theorems for fast diffusion equations, The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations, Large time behavior of solutions to the Neumann problem for a quasilinear second order degenerate parabolic equation in domains with noncompact boundary, Porous medium equations on manifolds with critical negative curvature: unbounded initial data, Book Review: Degenerate diffusions, Some existence and regularity results for porous media and fast diffusion equations with a gradient term