The interplay of nonlinear reaction and convection in dead core behavior for reaction-diffusion equations

DOI10.1016/0362-546X(92)90156-9zbMath0823.35061MaRDI QIDQ4030881

Ross G. Pinsky

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

dead core

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (1)

The behavior of the free boundary for reaction-diffusion equations with convection in an exterior domain with Neumann or Dirichlet boundary condition

Cites Work

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• Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities
• A strong maximum principle for some quasilinear elliptic equations
• Diffusion and reaction with monotone kinetics
• Local Vanishing Properties of Solutions of Elliptic and Parabolic Quasilinear Equations
• The dead core for reaction-diffusion equations with convection and its connection with the first exit time of the related Markov diffusion process
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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