Results 51 to 60 of about 419,875 (391)
On the convergence of a class of degenerate parabolic equations
Journal de Mathématiques Pures et Appliquées, 1998 Abstract In this paper we study the convergence of the Cauchy-Dirichlet problems for a sequence of parabolic operators P h = ∂ ∂t − div (a h (x,t) · D) , where the matrices of the coefficient ah(x,t) verify the following degenerate elliptic condition: λ h (x)|ζ| 2 ≤ (a h (x,t)⋯ζ,ζ)≤Lλ h (x)|ζ|
PARONETTO, FABIO, F. Serra Cassano
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Expansion of positivity to a class of doubly nonlinear parabolic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish the expansion of positivity of the nonnegative, local, weak solutions to the class of doubly nonlinear parabolic equations $$\partial_t (u^{q}) -\operatorname{div}{(|D u|^{p-2} D u)}=0, \qquad\ p>1 \ \text{and} \ q>0$$ considering ...
Eurica Henriques
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On the Cauchy problem for a degenerate parabolic differential equation
International Journal of Mathematics and Mathematical Sciences, 1998 The aim of this work is to prove the existence and the uniqueness of the solution of a degenerate parabolic equation. This is done using H. Tanabe and P.E. Sobolevsldi theory.
Ahmed El-Fiky
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Wiener's criterion for degenerate parabolic equations [PDF]
arXiv, 2023 In this paper, we prove Wiener's criterion for parabolic equations with singular and degenerate coefficients. To be precise, we study the problem of the regularity of boundary points for the Dirichlet problem for degenerate parabolic equations, and give a geometric characterization of those boundary points that are regular.
arxiv
The boundary degeneracy theory of a strongly degenerate parabolic equation
, 2016 A kind of strongly degenerate parabolic equations, ∂u∂t=∂∂xi(aij(u,x,t)∂u∂xj)+∂bi(u,x,t)∂xi,(x,t)∈Ω×(0,T),$$\frac{\partial u}{\partial t} =\frac{\partial}{\partial x_{i}} \biggl(a^{ij}(u,x,t) \frac{\partial u}{\partial x_{j}} \biggr)+\frac{\partial b_{i}(
Huashui Zhan
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Dissipation enhancement for a degenerated parabolic equation
Communications in Mathematical Sciences, 2023 22 ...
Feng, Yu, Hu, Bingyang, Xu, Xiaoqian
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Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010 The classification of the weak solutions to Dirichlet initial boundary value problemassociated with a linear degenerate parabolic equation has been studied. Some applications to associated optimal control problems in coeffcients are discussed.
I. G. Balanenko, P. I. Kogut
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Boundary Estimates for Certain Degenerate and Singular Parabolic Equations [PDF]
J. Eur. Math. Soc. 18, (2016), 381-424, 2014 We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic $p$-Laplacian. Assuming that such solutions continuously vanish on some distinguished part of the lateral part $S_T$ of a Lipschitz cylinder, we prove Carleson-type estimates, and deduce some consequences ...
arxiv +1 more source
Unique continuation and approximate controllability for a degenerate parabolic equation [PDF]
arXiv.org, 2011 This article studies unique continuation for weakly degenerate parabolic equations in one-space dimension. A new Carleman estimate of local type is obtained to deduce that all solutions that vanish on the degeneracy set, together with their conormal ...
P. Cannarsa, J. Tort, Masahiro Yamamoto
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A strongly degenerate parabolic aggregation equation [PDF]
Communications in Mathematical Sciences, 2011 This paper is concerned with a strongly degenerate convection-diffusion equation in one space dimension whose convective flux involves a non-linear function of the total mass to one side of the given position. This equation can be understood as a model of aggregation of the individuals of a population with the solution representing their local density.
Betancourt, F. +2 more
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