Blowup and Life Span of Solutions for a Semilinear Parabolic Equation
From MaRDI portal
Publication:4210253
DOI10.1137/S0036141097324934zbMath0909.35056MaRDI QIDQ4210253
Noriko Mizoguchi, Eiji Yanagida
Publication date: 21 September 1998
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15)
Related Items (13)
Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ New life-span results for the nonlinear heat equation ⋮ Blow-up of sign-changing solutions of a quasilinear heat equation ⋮ Life span of positive solutions for the Cauchy problem for the parabolic equations ⋮ Global existence, nonexistence and asymptotic behavior of solutions for the Cauchy problem of semilinear heat equations ⋮ Sharp Estimate of the Life Span of Solutions to the Heat Equation with a Nonlinear Boundary Condition ⋮ Global existence and blow-up for the classical solutions of the long-short wave equations with viscosity ⋮ The nonlinear heat equation involving highly singular initial values and new blowup and life span results ⋮ Blowup stability of solutions of the nonlinear heat equation with a large life span ⋮ Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity ⋮ Life span of solutions for a semilinear parabolic problem with small diffusion ⋮ Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain ⋮ Global existence and blowup for sign-changing solutions of the nonlinear heat equation
This page was built for publication: Blowup and Life Span of Solutions for a Semilinear Parabolic Equation