The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations

From MaRDI portal
Publication:920282

DOI10.1007/BF00281780zbMath0708.35019WikidataQ57256881 ScholiaQ57256881MaRDI QIDQ920282

Elsie Sterbin Gottlieb

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)




Related Items

A viscosity approach to the Dirichlet problem for degenerate complex Hessian-type equations, An optimal property of \(\ell\)-minimal surfaces in viscosity interpretation, Regularity for fully nonlinear integro-differential operators with regularly varying kernels, Multiscale Young measures in almost periodic homogenization and applications, Harnack type estimates for nonlinear elliptic systems and applications, Approximate homogenization of fully nonlinear elliptic PDEs: estimates and numerical results for Pucci type equations, A Dirichlet problem for nonlocal degenerate elliptic operators with internal nonlinearity, Sharp Hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach, Hölder estimates for non-local parabolic equations with critical drift, \(W^{\sigma, p}\) a priori estimates for fully nonlinear integro-differential equations, The Dirichlet problem for the prescribed curvature equations, A spectral dominance approach to large random matrices, Comparison principle and Liouville type results for singular fully nonlinear operators, Amorphous surface growth via a level set approach, The Dirichlet problem for fully nonlinear elliptic equations non-degenerate in a fixed direction, Harnack inequality for degenerate and singular operators of \(p\)-Laplacian type on Riemannian manifolds, Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations, Viscosity solution theory of a class of nonlinear degenerate parabolic equations. I: Uniqueness and existence of viscosity solutions, Numerical approximation of a system of Hamilton-Jacobi-Bellman equations arising in innovation dynamics, Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations, On the exterior Dirichlet problem for Hessian equations, Estimate of the gradient of a solution of the Dirichlet problem for Monge-Ampère type equations in a domain with nonsmooth boundary, Comparison principles for weak solutions of monge–ampere equations, Hölder behavior of viscosity solutions of some fully nonlinear equations in the Heisenberg group, Regularity results for fully nonlinear parabolic integro-differential operators, Harnack inequality for quasilinear elliptic equations on Riemannian manifolds, The vanishing exponent limit for motion by a power of mean curvature, Viscosity solutions to a model for solid-solid phase transitions driven by material forces, A viscosity approach to degenerate complex Monge-Ampère equations, The exterior Dirichlet problem for special Lagrangian equations in dimensions \(n\leq 4\), On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion, Aleksandrov-Bakelman-Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE, Parabolic Harnack inequality of viscosity solutions on Riemannian manifolds, Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian, Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels: subcritical case, Symmetry of minimizers with a level surface parallel to the boundary, Wellposedness of viscosity solutions to weakly coupled HJB equations under Hölder \textit{continuous conditions}, Lipschitz regularity for integro-differential equations with coercive Hamiltonians and application to large time behavior, An Aronsson type approach to extremal quasiconformal mappings, On the viscosity solutions of a stochastic differential utility problem, \(L ^{\infty }\) variational problems with running costs and constraints, Regularity of solutions to a class of variable-exponent fully nonlinear elliptic equations, On the exterior Dirichlet problem for Hessian quotient equations, Solvability via viscosity solutions for a model of phase transitions driven by configurational forces, A comparison principle for some types of elliptic equations, Large solutions of elliptic semilinear equations non-degenerate near the boundary, The exterior Dirichlet problem for fully nonlinear elliptic equations related to the eigenvalues of the Hessian, Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, Analysis of Galerkin methods for the fully nonlinear Monge-Ampère equation, Homogenization of the oscillating Dirichlet boundary condition in general domains, To the theory of viscosity solutions for uniformly elliptic Isaacs equations, Second-order elliptic integro-differential equations: viscosity solutions' theory revisited, Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V: Unbounded linear terms and \(B\)-continuous solutions, Finite element approximation of a nonlinear heat conduction problem in anisotropic media, On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations, Weak solutions for the Levi equation and envelope of holomorphy, Constructing convex solutions via Perron's method, A viscosity solution approach to regularity properties of the optimal value function, Local Li-Yau's estimates on \(RCD^\ast(K,N)\) metric measure spaces, REGULARITY OF THE FREE BOUNDARY FOR SOME ELLIPTIC AND PARABOLIC PROBLEMS. I, Viscosity solutions to degenerate complex monge-ampère equations, Numerical convergence for the Bellman equation of stochastic optimal control with quadratic costs and constraints, Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient, Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels, On the uniqueness of solutions of spectral equations, A nonconforming Morley finite element method for the fully nonlinear Monge-Ampère equation, Removable singularities for degenerate elliptic Pucci operator on the Heisenberg group, Comparison principles for viscosity solutions of elliptic equations via fuzzy sum rule, On Aronsson equation and deterministic optimal control, On the Aleksandrov-Bakel'man-Pucci estimate for some elliptic and parabolic nonlinear operators, Lipschitz regularity for viscosity solutions to parabolic \({p(x,t)}\)-Laplacian equations on Riemannian manifolds, Some free boundary problems recast as nonlocal parabolic equations, Selection problems for a discount degenerate viscous Hamilton-Jacobi equation, Monotonicity of input-output mapping related to inverse elastoplastic torsional problem, On the regularity of viscosity solutions of fully nonlinear elliptic equations, Stochastic Target Games and Dynamic Programming via Regularized Viscosity Solutions, Weak solutions to degenerate complex Monge-Ampère flows. I, Some flows in shape optimization, The viability property of controlled jump diffusion processes, On the independence of the value function for stochastic differential games of the probability space, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III: Uniqueness of viscosity solutions for general second-order equations, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I: The case of bounded stochastic evolutions, Total risk aversion, stochastic optimal control, and differential games, A comparison principle for parabolic complex Monge-Ampère equations, Strong comparison principles for some nonlinear degenerate elliptic equations, Regularity of generalized solutions of Monge-Ampère equations, A convergent finite difference method for computing minimal Lagrangian graphs, Viscosity solutions to a new phase-field model with Neumann boundary condition for solid-solid phase transitions, On the exterior problem for parabolic k-Hessian equations, Ginzburg-Landau equation and motion by mean curvature. I: Convergence, Mini review of fundamental notions in the theory of fully nonlinear elliptic second-order differential equations, Convergence of Rothe's method for fully nonlinear parabolic equations, Remarks on the comparison principle for quasilinear PDE with no zeroth order terms, Unnamed Item, On a vector-valued generalisation of viscosity solutions for general PDE systems, Comparison principle for singular degenerate elliptic equations on unbounded domains, Fully nonlinear oblique derivative problems for nonlinear second-order elliptic PDE's, Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order, Quasilinear second order elliptic equations with Venttsel boundary conditions, A VERSION OF THE HOPF-LAX FORMULA IN THE HEISENBERG GROUP, Symmetry properties of solutions of Hamilton-Jacobi equations without uniqueness, On oblique derivative problems for fully nonlinear second-order elliptic partial differential equations on nonsmooth domains, Fully nonlinear Neumann type boundary conditions for first-order Hamilton–Jacobi equations, Viscosity solutions for monotone systems of second–order elliptic PDES, Viscosity solutions to parabolic complex Hessian type equations, A tour of the theory of absolutely minimizing functions, Uniqueness of viscosity solutions for monotone systems of fully nonlinear PDES under Dirichlet condition, Periodic homogenisation of certain fully nonlinear partial differential equations, Weak–strong uniqueness for energy-reaction-diffusion systems, The subdifferential of the sum of two functions in Banach spaces II. Second order case, Regularity of the viscosity solution to nonlinear pde's with large zeroth order coefficient, User’s guide to viscosity solutions of second order partial differential equations, On the twice differentiability of viscosity solutions of nonlinear elliptic equations, Hedging of Covered Options with Linear Market Impact and Gamma Constraint, Existence and uniqueness of unbounded viscosity solutions of parabolic equations with discontinuous time-dependence, Equivalence between viscosity and weak solutions for the parabolic equations with nonstandard growth, Continuity and discontinuity of the boundary layer tail, The Dirichlet Problem for Semilinear Second-Order Degenerate Elliptic Equations and Applications to Stochastic Exit Time Control Problems, \(C^{1,\alpha}\)-regularity for solutions of degenerate/singular fully nonlinear parabolic equations, Generalized solutions for a class of non-uniformaly elliptic equations in divergence form, Limiting subhessians, limiting subjets and their calculus, Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry, Unnamed Item, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations, Viscosity solutions of nonlinear systems of degenerated elliptic equations of second order, C1, αInterior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels, Elliptic second order equations, Unnamed Item, Isolated singularities for fully nonlinear elliptic equations, Local gradient estimates of solutions to some conformally invariant fully nonlinear equations, Local singularities of plurisubharmonic functions, Regularity theory for fully nonlinear integro-differential equations, An application of the theorem on Sums to viscosity solutions of degenerate fully nonlinear equations, On the exterior Dirichlet problem for special Lagrangian equations, A continuous time tug-of-war game for parabolic p(x,t)-Laplace-type equations, Fundamental solutions and two properties of elliptic maximal and minimal operators, Generalized Mean Curvature Flow in Carnot Groups, On the regularity theory of fully nonlinear parabolic equations, On the regularity theory of fully nonlinear parabolic equations, The perturbed test function method for viscosity solutions of nonlinear PDE, Existence and Uniqueness of Viscosity Solutions of an Integro-differential Equation Arising in Option Pricing, Viscosity solutions of nonlinear second-order partial differential equations in hilbert spaces, Generalized one-sided estimates for solutions of Hamilton-Jacobi equations and applications, Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data, A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations, The Aronsson equation for absolute minimizers of $\{L^\infty \}$-functionals associated with vector fields satisfying Hörmander’s condition, A fattening principle for fronts propagating by mean curvature plus a driving force



Cites Work