Asymptotics of the Fast-Diffusion Equation with Critical Exponent
From MaRDI portal
Publication:4509928
DOI10.1137/S0036141097328452zbMath0954.35094OpenAlexW2036750313MaRDI QIDQ4509928
Juan Luis Vazquez, Lambertus A. Peletier, Victor A. Galaktionov
Publication date: 19 October 2000
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141097328452
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)
Related Items
The Fisher-KPP problem with doubly nonlinear ``fast diffusion, Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations, Long-time behavior of solutions to a class of parabolic equations with nonstandard growth condition, Potential theory and optimal convergence rates in fast nonlinear diffusion, Oscillatory decay in a degenerate parabolic equation, Anomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reaction, Extinction of solutions to a diffusion problem with nonlinear sources and variable density, Extinction behavior for the fast diffusion equations with critical exponent and Dirichlet boundary conditions, Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential, Extinction, decay and blow-up for Keller-Segel systems of fast diffusion type, Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli-Kohn-Nirenberg weights, Extinction for a fast diffusion equation with a nonlinear nonlocal source, Critical extinction exponents for a fast diffusion equation with nonlocal source and absorption, Blow-up and propagation of disturbances for fast diffusion equations, Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour, Extinction and non-extinction for a polytropic filtration equation with a nonlocal source, A complete characterization of nonlinear absorption for the evolution \(p\)-Laplacian equations to have positive or extinctive solutions, Equivalence and finite time blow-up of solutions and interfaces for two nonlinear diffusion equations, Fast diffusion to self-similarity: Complete spectrum, long-time asymptotics, and numerology, Type II extinction profile of maximal solutions to the Ricci flow in \(\mathbb R^{2}\), Extinction of solutions to a class of fast diffusion systems with nonlinear sources, Fine Asymptotics for Fast Diffusion Equations, Eternal solutions for a reaction-diffusion equation with weighted reaction, Sharp decay rates for the fastest conservative diffusions, Extinction and non-extinction for a polytropic filtration system with non-linear sources, EXTINCTION AND NON-EXTINCTION OF SOLUTIONS TO A P-LAPLACE EQUATION WITH A NONLOCAL SOURCE AND AN ABSORPTION TERM