Blow-up of solutions of semilinear parabolic differential equations
From MaRDI portal
Publication:1113011
DOI10.1007/BF00945760zbMath0661.35051OpenAlexW2015770978MaRDI QIDQ1113011
Publication date: 1988
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00945760
existenceblow-upglobal solutionsfinite timecomparison functionssemilinearDirichlet initial boundary value problem
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (31)
Critical exponent for the bipolar blowup in a semilinear parabolic equation ⋮ A nonlocal in time parabolic system whose Fujita critical exponent is not given by scaling ⋮ Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ Nonexistence of global solutions for a class of nonlinear parabolic equations on graphs ⋮ Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ} ⋮ Blow-up behavior of Hammerstein-type Volterra integral equations ⋮ Nonexistence of global solutions for a time-fractional damped wave equation in a \(k\)-times halved space ⋮ On the critical set for Fujita type blow-up of solutions to the discrete Laplacian parabolic equations with nonlinear source on networks ⋮ A semilinear parabolic problem with variable reaction on a general domain ⋮ A blowup result for the critical exponent in cones ⋮ Fujita type results for convective-like reaction diffusion equations in exterior domains ⋮ An extension of Dickstein's ``small lambda theorem for finite time blowup ⋮ Blow-up versus global existence of solutions for reaction-diffusion equations on classes of Riemannian manifolds ⋮ The value of the critical exponent for reaction-diffusion equations in cones ⋮ On the critical exponent for reaction-diffusion equations ⋮ The role of critical exponents in blow-up theorems: The sequel ⋮ Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone ⋮ An equation whose Fujita critical exponent is not given by scaling ⋮ The nonlinear heat equation involving highly singular initial values and new blowup and life span results ⋮ Local and global existence for evolution p-Laplacian equation with time-dependent source ⋮ Critical exponent for the parabolic equation u \(t = \delta u ^m + h (t)u ^p\) in a cone ⋮ New results on the Cauchy problem for parabolic systems and equations with strongly nonlinear sources ⋮ On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains ⋮ On the critical behavior for inhomogeneous parabolic differential inequalities in the half-space ⋮ Existence and nonexistence of time-global solutions to damped wave equation on half-line ⋮ Numerical verification for existence of a global-in-time solution to semilinear parabolic equations ⋮ Doubly degenerate parabolic equation with time-dependent gradient source and initial data measures ⋮ Existence and non-existence of global solutions for a heat equation with degenerate coefficients ⋮ Blowup in diffusion equations: A survey ⋮ The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values ⋮ On the critical exponent for some semilinear reaction-diffusion systems on general domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and non-existence of global solutions for a semilinear heat equation
- On the growing problem for semilinear heat equations
- Multidimensional nonlinear diffusion arising in population genetics
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Pointwise bounds for solutions of semilinear parabolic equations
- Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
- The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
- A Criterion for Blow-Up of Solutions to Semilinear Heat Equations
- A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- On nonexistence of global solutions of some semilinear parabolic differential equations
- On the spectrum of general second order operators
- On the growth of solutions of quasi‐linear parabolic equations
This page was built for publication: Blow-up of solutions of semilinear parabolic differential equations