Large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values
From MaRDI portal
Publication:1818012
DOI10.1016/S0362-546X(98)00161-8zbMath0936.35034OpenAlexW2056864792MaRDI QIDQ1818012
Kentaro Mukai, Qing Huang, Kiyoshi Mochizuki
Publication date: 9 May 2000
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/s0362-546x(98)00161-8
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Combustion (80A25) Initial value problems for second-order parabolic equations (35K15)
Related Items (25)
Existence and nonexistence of global solutions for a semilinear reaction-diffusion system ⋮ On the behavior of solutions of the Cauchy problem for a degenerate parabolic equation with source in the case where the initial function slowly vanishes ⋮ Life span of solutions for a quasilinear parabolic equation with initial data having positive limit inferior at infinity ⋮ Second critical exponent for a higher-order semilinear parabolic system ⋮ Second critical exponent for evolution \(p\)-Laplacian equation with weighted source ⋮ Complicated asymptotic behavior of solutions for a porous medium equation with nonlinear sources ⋮ Fujita-type theorems for a quasilinear parabolic differential inequality with weighted nonlocal source term ⋮ Life span of positive solutions for the Cauchy problem for the parabolic equations ⋮ Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source ⋮ Secondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values ⋮ Fujita phenomena in nonlinear pseudo-parabolic system ⋮ Large time behavior of solutions for the porous medium equation with a nonlinear gradient source ⋮ The second critical exponent for a semilinear nonlocal parabolic equation ⋮ Uniform boundedness and global existence of solutions to a quasilinear diffusion equation with nonlocal Fisher-KPP type reaction term ⋮ New critical exponents for a doubly singular parabolic equation ⋮ Lifespan and a new critical exponent for a nonlocal parabolic equation with slowly decay initial values ⋮ Blow-up problems for quasilinear parabolic equations ⋮ Second critical exponent for a nonlinear nonlocal diffusion equation ⋮ Critical exponents in a degenerate parabolic equation with weighted source ⋮ Life span and a new critical exponent for a degenerate parabolic equation ⋮ Life span and secondary critical exponent for degenerate and singular parabolic equations ⋮ Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values ⋮ Global existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and source ⋮ Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values ⋮ On a fast diffusion equation with source
This page was built for publication: Large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values