Doubly nonlinear parabolic equations with singular lower order term.

DOI10.1016/j.na.2003.09.006zbMath1047.35065OpenAlexW2075748577MaRDI QIDQ1427916

Ismail Kombe

Publication date: 14 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.09.006

zbMATH Keywords

nonexistencepositive solutionsHardy inequality

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items

Doubly Nonlinear Degenerate Parabolic Equations with a Singular Potential for Greiner Vector Fields, On higher order elliptic and parabolic inequalities with singularities on the boundary, A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential, Instantaneous and finite time blow-up of solutions to a reaction-diffusion equation with Hardy-type singular potential, Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations, Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential, Doubly nonlinear parabolic equations with Robin boundary conditions, Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension, Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential, The Hardy inequality and nonlinear parabolic equations on Carnot groups, Nonlinear degenerate parabolic equations with time-dependent singular potentials for Baouendi-Grushin vector fields, Nonlinear degenerate parabolic equations with time dependent singular coefficients, Nonlinear parabolic equations with singular coefficient and critical exponent, On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients, Blow-up solutions for singular nonlinear parabolic problems, Numerical Investigation of Solutions to a Reaction-diffusion System with Variable Density

Cites Work

• Hardy inequalities and some critical elliptic and parabolic problems
• Nonlinear degenerate parabolic equations with singular lower-order term
• Hardy type and Rellich type inequalities on the Heisenberg group
• Linear parabolic equations with strong singular potentials
• The Heat Equation with a Singular Potential
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• The asymptotic profile of solutions of a class of doubly nonlinear equations
• Global Behavior of the Cauchy Problem for Some Critical Nonlinear Parabolic Equations
• The linear heat equation with highly oscillating potential
• Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
• On a degenerate heat equation with a singular potential
• Unnamed Item
• Unnamed Item
• Unnamed Item