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Immediate Regularization after Blow-up
TLDR
We study solutions of some supercritical parabolic equations which blow up in finite time but continue to exist globally in the weak sense. Expand
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Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions
Unspecified Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: http://doi.org/10.5167/uzh-22758 Originally published at: Chipot, M; Fila, M; Quittner, P (1991).Expand
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Boundedness of Global Solutions of Nonlinear Diffusion Equations
it is well known that there exist choices of u0 for which the corresponding solutions tend to zero as t -+ cc and other choices for which the solutions blow up in finite time. If we are interested inExpand
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ON CRITICAL EXPONENTS FOR A SYSTEM OF HEAT EQUATIONS COUPLED IN THE BOUNDARY CONDITIONS
In this paper, we consider the system u t = u, v t = v x 2R N , t > 0, @u @x 1 = v p , @v @x 1 = u q x 1 = 0, t > 0, u(x, 0) = u 0 (x), v(x, 0) = v 0 (x) x2R N , where R N = {(x 1 ,x 0 ) | x 0 2 R NExpand
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Quenching on the boundary
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The blow-up rate for semilinear parabolic problems on general domains
Abstract. We derive results on blow-up rates for parabolic equations and systems from Fujita-type theorems. We complement a previous study by allowing (possibly unbounded) domains with boundary.
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Convergence Rate for a Parabolic Equation with Supercritical Nonlinearity
We study the behavior of solutions of the Cauchy problem for a diffusion equation with supercritical nonlinearity. It is shown that if two solutions are initially close enough near the spatialExpand
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On the blow-up rate for the heat equation with a nonlinear boundary condition
In this paper positive solutions of the heat equation with a nonlinear Neumann boundary conditions in an upper halfspace are studied. The optimal result on blow-up rate, valid for all solutions whichExpand
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