The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations
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Publication:1894286
DOI10.1007/BF01003556zbMath0835.35071MaRDI QIDQ1894286
Publication date: 10 August 1995
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45)
Related Items (20)
Study of weak solutions for degenerate parabolic inequalities with nonstandard conditions ⋮ A general approach to critical Fujita exponents in nonlinear parabolic problems ⋮ Critical dimension for a system of partial differential equations with time‐dependent generators ⋮ A FUJITA-TYPE RESULT FOR A SEMILINEAR EQUATION IN HYPERBOLIC SPACE ⋮ Global existence and blowup for a coupled parabolic system with time-weighted sources on a general domain ⋮ Blow-Up vs. Global Existence for a Fujita-Type Heat Exchanger System ⋮ A Criterion for Blow Up in Finite Time of a System of 1-Dimensional Reaction-Diffusion Equations ⋮ Global solutions and blowing-up solutions for a nonautonomous and nonlocal in space reaction-diffusion system with Dirichlet boundary conditions ⋮ Global and nonglobal solutions of a system of nonautonomous semilinear equations with ultracontractive Lévy generators ⋮ The role of critical exponents in blow-up theorems: The sequel ⋮ Unnamed Item ⋮ Critical Fujita curve for a semilinear parabolic system with time-weighted sources ⋮ Existence and nonexistence of Fujita-type critical exponents for isotropic and anisotropic semi-linear parabolic systems ⋮ Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations ⋮ Nonexistence of global positive solutions of weakly coupled systems of semilinear parabolic equations with time-periodic coefficients ⋮ Existence of global-in-time solutions to a system of fully nonlinear parabolic equations ⋮ A Cauchy problem of parabolic equations with time-dependent coefficients ⋮ Blow-up solutions to the Cauchy problem of a fractional reaction-diffusion system ⋮ Blow up of nonautonomous fractional reaction-diffusion systems ⋮ Global existence and finite time blow-up for a parabolic system on hyperbolic space
Cites Work
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- Boundedness and blow up for a semilinear reaction-diffusion system
- A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations
- Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
- Bounds for the fundamental solution of a parabolic equation
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