Pointwise and \(L_{2}\) bounds in some nonstandard problems for the heat equation

DOI10.1016/S0022-247X(03)00354-8zbMath1028.35029OpenAlexW2071201010MaRDI QIDQ1406534

Lawrence E. Payne, Philip W. Schaefer

Publication date: 4 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00354-8

zbMATH Keywords

maximum principlenonlinear boundary conditionstrace inequality

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45)

Cites Work

• Unnamed Item
• Remarks on the maximum principle for parabolic equations and its applications
• Symmetry and non-symmetry for the overdetermined Stekloff eigenvalue problem
• On overdetermined problems for the homogeneous and inhomogeneous biharmonic equation
• Energy bounds for some nonstandard problems in partial differential equations.
• Some nonstandard problems for the Poisson equation
• A Fully Nonlinear Boundary value Problem for the Laplace Equation in Dimension Two
• Some nonstandard problems for a class of quasilinear second order elliptic equations
• ASYMPTOTIC BEHAVIOR FOR TWO REGULARIZATIONS OF THE CAUCHY PROBLEM FOR THE BACKWARD HEAT EQUATION
• On a Class of Overdetermined Eigenvalue Problems
• Some Overdetermined Boundary Value Problems with Elliptical Free Boundaries
• DECAY BOUNDS FOR SOLUTIONS OF SECOND ORDER PARABOLIC PROBLEMS AND THEIR DERIVATIVES
• APPLICATION OF A NON-LINEAR BOUNDARY-VALUE PROBLEM FOR LAPLACE'S EQUATION TO GRAVITY AND GEOMAGNETIC INTENSITY SURVEYS
• A strong maximum principle for parabolic equations

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