Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption

DOI10.1112/jlms/jds051zbMath1264.35137arXiv1107.1303OpenAlexW3104418351MaRDI QIDQ4918747

Razvan Gabriel Iagar, Philippe Laurençot

Publication date: 6 May 2013

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1303

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Growth and boundedness of solutions to ordinary differential equations (34C11) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92) Self-similar solutions to PDEs (35C06) Axially symmetric solutions to PDEs (35B07)

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Self-similar blow-up profiles for a reaction-diffusion equation with strong weighted reaction ⋮ Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption ⋮ Large time behavior for a quasilinear diffusion equation with critical gradient absorption ⋮ A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential ⋮ Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential ⋮ Optimal existence, uniqueness and blow-up for a quasilinear diffusion equation with spatially inhomogeneous reaction ⋮ Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension ⋮ Asymptotic behavior for a singular diffusion equation with gradient absorption ⋮ Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction ⋮ Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth

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