Comparison of solutions of nonlinear evolution problems with different nonlinear terms

DOI10.1007/BF02802726zbMath0506.35049MaRDI QIDQ1836795

Jesús Ildefonso Díaz, Philippe Benilan

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

porous medianonlinear evolution problemsabstract Cauchy problems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Perturbations in context of PDEs (35B20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (5)

Differential equations in a Banach space ⋮ Singular Behavior in Nonlinear Parabolic Equations ⋮ Half-space Gaussian symmetrization: applications to semilinear elliptic problems ⋮ On a fully nonlinear parabolic equation and the asymptotic behaviour of its solutions ⋮ On a comparison theorem for parabolic equations with nonlinear boundary conditions

Cites Work

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• Semi-linear second-order elliptic equations in \(L^1\)
• Solutions with compact support for some degenerate parabolic problems
• Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems
• Some results on the multi-phase stefan problem

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