A strong maximum principle for parabolic equations

From MaRDI portal
Publication:5817688

DOI10.1002/cpa.3160060202zbMath0050.09601OpenAlexW2002501536WikidataQ97344607 ScholiaQ97344607MaRDI QIDQ5817688

Louis Nirenberg

Publication date: 1953

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160060202




Related Items (93)

Unique Continuation Property of Non-Positive Weak Subsolutions for Parabolic Equations of Higher OrderSu di un nuovo problema del tipo di StefanPrincipal eigenvalue and maximum principle for cooperative periodic-parabolic systemsQualitative properties of nonlinear parabolic operatorsFine and Parabolic Limits for Solutions of Second-Order Linear Parabolic Equations on an Infinite SlabBlow-up phenomena for a nonlinear parabolic problem with \(p\)-Laplacian operator under nonlinear boundary conditionConvergence rate analysis of Galerkin approximation of inverse potential problemA free boundary problem in ecologyFunctions Satisfying a Weighted Average PropertyLower bounds for the blow-up time in a temperature dependent Navier-Stokes flowSupremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the dataSpatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problemsAsymptotic Behavior of Solutions of Parabolic Equations with Unbounded CoefficientsOn the Feedback Control of Distributed Parameter Systems†Lower bounds for blow-up time in parabolic problems under Dirichlet conditionsEquations with nonnegative characteristic form. IEquations with nonnegative characteristic form. IIA Mean Value Theorem for the Heat EquationMathematical analysis of bump to bucket problemOn the maximum principle for quasi-linear parabolic equations of the second orderProtection zones in periodic-parabolic problemsOn a property of a classical solution of the nonlinear mass transport equation u t=u x x/1+u x 2. IIThe vanishing exponent limit for motion by a power of mean curvatureRemarks on some properties of solutions of some boundary value problems for quasi-linear parabolicand elliptic equations of the second orderHopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependenceExact controllability to the trajectories of the one-phase Stefan problemStrong extremum principle isotropic in a planar domainA strong maximum principle for globally hypoelliptic operatorsBlow-up phenomena for some nonlinear parabolic problems under Robin boundary conditionsAnisotropic fast diffusion equationsExplicit decay estimates for solutions to nonlinear parabolic systemsUnnamed ItemSingular integrals and Feller semigroups with jump phenomenaPointwise and \(L_{2}\) bounds in some nonstandard problems for the heat equationTheorems of Giraud type for second-order parabolic equations which admit degeneracyExploring the unknown: the work of Louis Nirenberg on partial differential equationsGuaranteeing convergence of iterative skewed voting algorithms for image segmentationThe efficiency of an irreversible cycleMaximum principles for implicit parabolic equationsMaximum principles for discrete and semidiscrete reaction-diffusion equationConvergence of an \(O(h^4)\) scheme applied to a semi-linear parabolic equationA Strong Maximum Principle for Quasilinear Parabolic Differential InequalitiesOn the strong maximum principle for degenerate parabolic equationsA note on the classical weak and strong maximum principles for linear parabolic partial differential inequalitiesSome Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic OperatorsBlow-up, global existence and exponential decay estimates for a class of quasilinear parabolic problemsQualitative properties for solutions of reaction-diffusion parabolic systems and their gradientsDifferential inequalitiesLower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in \(\mathbb{R}^{N}\) (\(N\geq3\))A strong maximum principle for parabolic systems in a convex set with arbitrary boundaryDecay bounds for solutions of second order parabolic problems and their derivatives. III.Blow-up phenomena for some nonlinear parabolic problems under mixed boundary conditionsOn the regularity of domains satisfying a uniform hour-glass condition and a sharp version of the Hopf-Oleinik boundary point principleExplicit decay bounds in some quasilinear one-dimensional parabolic problemsMean value theorem and a maximum principle for Kolmogorov's equationContinuous dependence results for a class of nonlinear heat equations in a cylindrical regionMaximum principle and propagation for intrinsicly regular solutions of differential inequalities structured on vector fieldsOn the boundary point principle for divergence-type equationsDecay bounds for solutions of second order parabolic problems and their derivatives IVContinuous Dependence Results for Parabolic Problems Under Robin Boundary ConditionsWeinstein's Technique for a Class of Parabolic ProblemsSome properties and applications of harmonic mappingsSome overdetermined parabolic problemsConcentration through large advectionStrenge Schranken exakter Lösungen Prandtlscher GrenzschichtproblemeUna analisi fisico-matematica del processa del cambiamento di faseSolutions of parabolic boundary problems existing for all timeSolution ot the boundary-value problem of the fifth kind for second-order parabolic equations in noncylindrical regionsÜber das Maximumprinzip und verwandte Fragen bei Lösungen elliptisch- parabolischer Differentialgleichungen 2. OrdnungSome asymptotic boundary behavior of solutions of non-linear parabolic initial-boundary value problemsNonlinear partial differential inequalitiesMaximum principle for higher order operators in general domainsA Note on the Steady State Solutions of the Heat EquationANALYSIS OF PARABOLIC PROBLEMS ON PARTITIONED DOMAINS WITH NONLINEAR CONDITIONS AT THE INTERFACE: APPLICATION TO MASS TRANSFER THROUGH SEMI-PERMEABLE MEMBRANESA Uniqueness Theorem for the Solution of a Stefan ProblemOn maximum principles for non-hyperbolic partial differential operatorsMildly nonlinear parabolic equations with application to flow of gases through porous mediaThe maximum principle for an elliptic-parabolic equation of the second orderEine Anwendung des Nirenbergschen Maximumprinzips für parabolische Differentialgleichungen in der GrenzschichttheorieEin Eindeutigkeitssatz für instationäre GrenzschichtenComparison and existence theorems for multicomponent diffusion systemsBemerkungen über Monotonie und Fehlerabschätzung bei nichtlinearen partiellen DifferentialgleichungenAnalogs of Giraud's theorem for a second-order parabolic equationLower bounds for blow-up time in parabolic problems under Neumann conditionsBodies for Which Harmonic Functions Satisfy the Mean Value PropertyA new proof and generalization of the maximum principle of heat conductionSimplifying the Structure of Second Order Partial Differential EquationsSteady State and Long Time Convergence of Spirals Moving by Forced Mean Curvature MotionInvestigations on an anisotropic strict extremum principle for elliptic- parabolic equations of second orderA pivotal eigenvalue problem in river ecologyTime-periodic solutions of linear parabolic differential equationsOn some problems with unknown boundaries for the heat conduction equationComment on ‘‘On a property of a classical solution of the nonlinear mass transport equation u t=u x x/1+u x 2. II’’ [J. Math. Phys. 2 8, 536 (1987)]




This page was built for publication: A strong maximum principle for parabolic equations