Results 11 to 20 of about 183,010 (330)

Inhomogeneous parabolic Neumann problems [PDF]

Czechoslovak Mathematical Journal, 2014
We study second order parabolic equations on Lipschitz domains subject to inhomogeneous Neumann (or, more generally, Robin) boundary conditions. We prove existence and uniqueness of weak solutions and their continuity up to the boundary of the parabolic cylinder.
openaire   +2 more sources

On maximal parabolic regularity for non-autonomous parabolic operators [PDF]

, 2016
We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the property of maximal parabolic regularity can be extrapolated to time ...
A.F.M. ter Elst, Adams, Agmon, Alt, Amann, Amann, Amann, Amann, Arendt, Arendt, Arendt, Arendt, Auscher, Bergh, Brewster, Cannarsa, Casas, Clément, Dautray, De Simon, Denk, Disser, Disser, Disser, Dong, Dong, Dore, Dore, Dore, Egert, Egert, Elschner, Elschner, Evans, Fackler, Fackler, Gallarati, Grisvard, Grisvard, Gröger, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Hieber, Hömberg, Jerison, Joachim Rehberg, Jonsson, Karoline Disser, Krumbiegel, Kunisch, Köhne, Lamberton, Lang, Lions, Maz'ja, Morrey, Prüss, Prüss, Prüss, Schnaubelt, Sneiberg, Tamm, ter Elst, ter Elst, ter Elst, Triebel, Vignati, Weis, Zanger   +71 more
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A priori error estimates of the local discontinuous Galerkin method on staggered grids for solving a parabolic equation for the homogeneous Dirichlet problem

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In this paper, we present a priori error analysis of the solution of a homogeneous boundary value problem for a second-order differential equation by the Discontinuous Galerkin method on staggered grids. The spatial discretization is constructed using an
Ruslan V. Zhalnin, Victor Fedorovich Masyagin, Elizaveta Evgenievna Peskova, Vladimir Fedorovich Tishkin   +3 more
doaj   +1 more source

Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We consider nonautonomous reaction-diffusion equations with variable exponents and large diffusion and we prove continuity of the flow and weak upper semicontinuity of a family of pullback attractors when the exponents go to $2$ in $L^\infty(\Omega)$.
Jacson Simsen
doaj   +1 more source

Parabolic Minkowski convolutions of viscosity solutions to fully nonlinear equations [PDF]

, 2019
This paper is concerned with the Minkowski convolution of viscosity solutions of fully nonlinear parabolic equations. We adopt this convolution to compare viscosity solutions of initial-boundary value problems in different domains.
Ishige, Kazuhiro, Liu, Qing, Salani, Paolo   +2 more
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On the uniqueness of solutions to parabolic semilinear problems under nonlocal conditions with integrals

Technical Transactions, 2017
The uniqueness of classical solutions to parabolic semilinear problems together with nonlocal initial conditions with integrals, for the operator ∑i,j=1n∂∂xi(aij(x,t)∂∂xj)+c(x,t)-∂∂t,\sum\limits_{i,j = 1}^n {{\partial \over {\partial {x_i}}}\left( {{a_ ...
Byszewski Ludwik, Wacławski Tadeusz
doaj   +1 more source

Stability of Stochastic Partial Differential Equations

Axioms, 2023
In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
doaj   +1 more source

On quasilinear parabolic evolution equations in weighted Lp-spaces II [PDF]

, 2013
Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity.
D. Bothe, J. Prüss, Jan Prüss, Jeremy LeCrone, M. Meyries, M. Meyries, Mathias Wilke   +6 more
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Periodic total variation flow of non-divergence type in Rn [PDF]

, 2013
We introduce a new notion of viscosity solutions for a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of arbitrary dimension, whose diffusion on flat parts with zero slope is so strong that it becomes a ...
Giga, Mi-Ho, Giga, Yoshikazu, Pozar, Norbert   +2 more
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Finite element exterior calculus for parabolic problems [PDF]

, 2012
In this paper, we consider the extension of the finite element exterior calculus from elliptic problems, in which the Hodge Laplacian is an appropriate model problem, to parabolic problems, for which we take the Hodge heat equation as our model problem ...
Arnold, Arnold, Boffi, Brezzi, Chen, Chou, Christiansen, Douglas, Douglas N. Arnold, Garcia, Garcia, Gor’kov, Hongtao Chen, Johnson, Scholz, Squeff, Wheeler, Wilson   +17 more
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