Existence and nonexistence of global solutions to fast diffusions with source

From MaRDI portal
Publication:1898065

DOI10.4310/MAA.1995.v2.n1.a6zbMath0832.35083MaRDI QIDQ1898065

Kentaro Mukai, Kiyoshi Mochizuki

Publication date: 20 September 1995

Published in: Methods and Applications of Analysis (Search for Journal in Brave)




Related Items (24)

Critical exponent and critical blow-up for quasilinear parabolic equationsFujita phenomenon in inhomogeneous fast diffusion systemAnomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reactionThe critical exponents for the quasi-linear parabolic equations with inhomogeneous termsExistence and nonexistence of global solutions of the quasilinear parabolic equations with inhomogeneous termsSecond critical exponent for evolution \(p\)-Laplacian equation with weighted sourceCritical Fujita exponent for the porous medium equation in \(\mathbb{R}^N\) with holeCauchy problem for fast diffusion equation with localized reactionBlow-up and propagation of disturbances for fast diffusion equationsSecondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial valuesThe role of critical exponents in blow-up theorems: The sequelBlow-up results for nonlinear parabolic equations on manifoldsUniform boundedness and global existence of solutions to a quasilinear diffusion equation with nonlocal Fisher-KPP type reaction termNew critical exponents for a doubly singular parabolic equationLifespan and a new critical exponent for a nonlocal parabolic equation with slowly decay initial valuesDiscretization of the Cauchy problem for a fast diffusion equationOn directional blow-up for quasilinear parabolic equations with fast diffusionLife span and a new critical exponent for a degenerate parabolic equationLife span and secondary critical exponent for degenerate and singular parabolic equationsCritical exponents of quasilinear parabolic equationsGlobal existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and sourceBlow-up and existence for fast diffusion equations with general nonlinearitiesLife span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial valuesThe critical exponent for fast diffusion equation with nonlocal source




This page was built for publication: Existence and nonexistence of global solutions to fast diffusions with source