Results 21 to 30 of about 181,693 (317)
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
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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
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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
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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.
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Parabolic problems in generalized Sobolev spaces [PDF]
Communications on Pure & Applied Analysis, 2021 <p style='text-indent:20px;'>We consider a general inhomogeneous parabolic initial-boundary value problem for a <inline-formula><tex-math id="M1">\begin{document}$ 2b $\end{document}</tex-math></inline-formula>-parabolic differential equation given in a finite multidimensional cylinder.
Los, Valerii +2 more
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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 +2 more
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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 +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 +2 more
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KOSTANT'S PROBLEM AND PARABOLIC SUBGROUPS [PDF]
Glasgow Mathematical Journal, 2009 AbstractLet be a finite dimensional complex semi-simple Lie algebra with Weyl group W and simple reflections S. For I ⊆ S let I be the corresponding semi-simple subalgebra of . Denote by WI the Weyl group of I and let w○ and wI○ be the longest elements of W and WI, respectively. In this paper we show that the answer to Kostant's problem, i.e.
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On a Small Elliptic Perturbation of a Backward-Forward Parabolic Problem, with Applications to Stochastic Models [PDF]
, 2003 We consider an elliptic PDE in two variables. As one parameter approaches zero, this PDE collapses to a parabolic one, that is forward parabolic in a part of the domain and backward parabolic in the remainder.
Dominici, Diego, Knessl, Charles
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