Results 291 to 300 of about 1,355,996 (330)
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ON UNIQUENESS CLASSES FOR DEGENERATING PARABOLIC EQUATIONS
Mathematics of the USSR-Sbornik, 1971We 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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Nonlinear Differential Equations and Applications NoDEA, 2023
P. D. de Carvalho +3 more
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P. D. de Carvalho +3 more
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Some degenerate nonlinear parabolic equations
九州大学教養部数学雑誌, 1984The 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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Hyperbolic Phenomena in a Degenerate Parabolic Equation
Journal of Partial Differential Equations, 1997The 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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Higher regularity up to boundary for degenerate parabolic equations
Journal of Differential Equations, 2023Tak-Pil Kim, Ki-Ahm Lee, Hyung-Gu Yun
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Symmetry for degenerate parabolic equations
Archive for Rational Mechanics and Analysis, 1989For ...
ALESSANDRINI, GIOVANNI, GAROFALO N.
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On Degenerate Nonlinear Parabolic Equations on the Bohr Compactum
Differential Equations, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the homogenization of degenerate parabolic equations
Acta Mathematicae Applicatae Sinica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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