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Blow-up of solutions of semilinear parabolic differential equations

https://doi.org/10.1007/bf00945760
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160160307openalex-snapshot
On the growth of solutions of quasi‐linear parabolic equations
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Differential and Integral Inequalities
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Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)
inferredcites →https://doi.org/10.1007/bf02761845openalex-snapshot
Existence and non-existence of global solutions for a semilinear heat equation
inferredcites →https://doi.org/10.1016/0001-8708(78)90130-5openalex-snapshot
Multidimensional nonlinear diffusion arising in population genetics
inferredcites →https://doi.org/10.1016/0022-0396(66)90046-5openalex-snapshot
Pointwise bounds for solutions of semilinear parabolic equations
inferredcites →https://doi.org/10.1090/pspum/018.1/0269995openalex-snapshot
On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations
inferredcites →https://doi.org/10.1090/s0002-9904-1966-11485-4openalex-snapshot
On the spectrum of general second order operators
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0756040-1openalex-snapshot
The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
inferredcites →https://doi.org/10.1093/qmath/28.4.473openalex-snapshot
REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
inferredcites →https://doi.org/10.1137/0140040openalex-snapshot
A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
inferredcites →https://doi.org/10.1137/0143090openalex-snapshot
Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
inferredcites →https://doi.org/10.1137/0518055openalex-snapshot
A Criterion for Blow-Up of Solutions to Semilinear Heat Equations
inferredcites →https://doi.org/10.2969/jmsj/02930407openalex-snapshot
On the growing up problem for semilinear heat equations
inferredcites →https://doi.org/10.3792/pja/1195519254openalex-snapshot
On nonexistence of global solutions of some semilinear parabolic differential equations

What points at this work

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Analysis for Parabolic Equations Based on the Results About Ode
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Critical Exponent for the Bipolar Blowup in a Semilinear Parabolic Equation
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The Role of Critical Exponents in Blow-Up Theorems: The Sequel
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A blowup result for the critical exponent in cones
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Refined behavior and structural universality of the blow-up profile for the semilinear heat equation with non scale invariant nonlinearity
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Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone
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Critical exponent for the parabolic equation u t = Δu m + h (t)u p in a cone
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Nonexistence of Global Solutions for a Class of Nonlinear Parabolic Equations on Graphs
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The nonlinear heat equation involving highly singular initial values and new blowup and life span results
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Existence and non-existence of global solutions for a heat equation with degenerate coefficients
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On the critical behavior for inhomogeneous parabolic differential inequalities in the half-space
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Numerical verification for existence of a global-in-time solution to semilinear parabolic equations
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A semilinear parabolic problem with variable reaction on a general domain
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Nonexistence of global solutions for a time-fractional damped wave equation in a k -times halved space
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On the critical set for Fujita type blow-up of solutions to the discrete Laplacian parabolic equations with nonlinear source on networks
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A nonlocal in time parabolic system whose Fujita critical exponent is not given by scaling
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Existence and nonexistence of time-global solutions to damped wave equation on half-line
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An extension of Dickstein’s “small lambda” theorem for finite time blowup
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Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
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On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
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The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values
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