Results 131 to 140 of about 1,087 (167)

Quenching for degenerate parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1998
The authors study local and global existence of nonnegative solutions of the equation \(u_t-(p(x)u_x)_x=f(u)\), \(x\in(0,a)\), \(t>0\), complemented by homogeneous Dirichlet boundary conditions and the initial condition \(u(x,0)=u_0(x)\). Here \(p,f,u_0\) satisfy certain regularity properties and \(p(0)=0\), \(p(x)>0\) for \(x>0\), \(\int_0^A dx/p(x)
Ke, L., Ning, S.
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Hyperbolic Phenomena in a Degenerate Parabolic Equation

Journal of Partial Differential Equations, 1997
The author studies an equation of the form \[ u_t = (\phi (u)\psi (u_x))_x, \quad (x,t)\in\mathbb{R}\times (0,\infty), \] where \(\phi : \mathbb{R}^+\mapsto \mathbb{R}^+\) is smooth, \(\phi\in C[0,+\infty)\), \(\phi(0)=0\), \(\phi'(s)>0\;(s>0)\), \(\lim_{s\to +0}s/\phi (s) =0\), and \(\psi :\mathbb{R}\mapsto \mathbb{R}\) is a strictly increasing smooth
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ON UNIQUENESS CLASSES FOR DEGENERATING PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1971
We study the uniqueness classes of a generalized solution of the Cauchy problem (1)when the matrix is degenerate. A generalized solution is introduced with the help of an infinitesimal operator of a Markov process connected with the operator in (1).
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Symmetry for degenerate parabolic equations

Archive for Rational Mechanics and Analysis, 1989
For ...
ALESSANDRINI, GIOVANNI, GAROFALO N.
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Some degenerate nonlinear parabolic equations

九州大学教養部数学雑誌, 1984
The author proves existence, uniqueness and asymptotic behaviour of solutions of the initial value problem for the generalized porous medium equation on a bounded domain in \({\mathbb{R}}^ n\). In various cases, decay notes, positivity and uniqueness are given which extend known results in various directions.
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On Degenerate Nonlinear Parabolic Equations on the Bohr Compactum

Differential Equations, 2022
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Degenerate and Singular Parabolic Equations

2011
Let E be an open set in \(\mathbb{R}^{N}\) and for T > 0 let E T denote the cylindrical domain E × (0, T].
Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri   +2 more
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A Degenerate Parabolic Logistic Equation

2014
We analyze the behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearity and Dirichlet boundary conditions. Our results concern existence and strong localization in the spatial region in which the logistic nonlinearity cancels.
José M. Arrieta, Rosa Pardo, Aníbal Rodríguez-Bernal   +2 more
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On the homogenization of degenerate parabolic equations

Acta Mathematicae Applicatae Sinica, 2000
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Critical exponents of degenerate parabolic equations

1995
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