Results 1 to 10 of about 307,308 (189)
On Degenerate Parabolic Equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 The paper deals with the existence of solutions of some generalized Stefan-type equation in the framework of Orlicz spaces.
Mohammed Kbiri Alaoui
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A degenerate parabolic equation modelling the spread of an epidemic [PDF]
Annali di Matematica Pura ed Applicata, 1986 We consider the Cauchy problem for a degenerate parabolic equation, not in divergence form, representing the diffusive approximation of a model for the spread of an epidemic in a closed population without remotion. We prove existence and uniqueness of the weak solution, defined in a suitable way, and some qualitative properties.
M. Ughi
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Degenerate semilinear parabolic equations [PDF]
Differential and Integral Equations, 1992 Andreas Stahel
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Gaussian bounds for degenerate parabolic equations
Journal of Functional Analysis, 2008 AbstractLet A be a real symmetric, degenerate elliptic matrix whose degeneracy is controlled by a weight w in the A2 or QC class. We show that there is a heat kernel Wt(x,y) associated to the parabolic equation wut=divA∇u, and Wt satisfies classic Gaussian bounds:|Wt(x,y)|⩽C1tn/2exp(−C2|x−y|2t).
David Cruz-Uribe, Cristian Rios
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Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms [PDF]
Mathematica Bohemica, 2023 In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in $L^1$.
Rabah Mecheter, Fares Mokhtari
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Null controllability of degenerate parabolic equation with memory [PDF]
Mathematical Methods in the Applied Sciences, 2021 In this paper, we analyze the null controllability property for a degenerate parabolic equation involving memory terms with a locally distributed control. We first derive a null controllability result for a nonhomogeneous degenerate heat equation via new Carleman estimates with weighted time functions that do not blow up at .
Allal, Brahim, Fragnelli, Genni
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Strong Traces to Degenerate Parabolic Equations
SIAM Journal on Mathematical Analysis, 2022 We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the ...
Marko Erceg, Darko Mitrović
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A priori estimate of the solution of the Cauchy problem in the Sobolev classes for discontinuous coefficients of degenerate heat equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Partial differential equations of the parabolic type with discontinuous coefficients and the heat equation degenerating in time, each separately, have been well studied by many authors.
U.K. Koilyshov +2 more
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Stability for degenerate parabolic equations [PDF]
Advances in Calculus of Variations, 2010 in a cylindrical domain. The main question is that do the weak solutions of (1.1) with fixed initial and boundary values converge in any reasonable sense to the solution of the limit problem as p varies. Apart from mathematical interest, the stability questions is motivated by error analysis in applications: It is desirable that solutions remain stable
Parviainen, Mikko, Kinnunen, Juha
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WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
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