Results 51 to 60 of about 444 (158)
Fractal and FractionalIn this article, we investigate the regularization and qualitative properties of parabolic Ginzburg–Landau equations in variable exponent Herz spaces. These spaces capture both local and global behavior, providing a natural framework for our analysis. We
Waqar Afzal +3 more
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REGULARITY RESULTS FOR A CLASS OF HYPERBOLIC EQUATIONS WITH VMO COEFFICIENTS
, 2015 In this note we show a regularity result for an hyperbolic system with discontinuous coefficients. More precisely, we deal with coefficients in the function space VMO and we prove the existence and uniqueness of a solution $ u \in L^{\infty}(0,T;H^2 ...
Bergounioux, Maïtine, Schwindt, Erica,
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The quasilinear parabolic Venttsel problem with discontinuous leading coefficients
, 2023 Задача Вентцеля представляет собой наиболее общую краевую задачу для эллиптического оператора второго порядкa, которая порождает генератор марковского процесса.
Aleksander Nazarov +7 more
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A priori estimates for nonvariational operators modeled on Hörmander's vector fields with drift
Bruno Pini Mathematical Analysis Seminar, 2013 For a nonvariational operator structured on Hörmander's vector fields with drift, where the matrix of coffiecients is real, symmetric and uniformly positive, we prove local a priori estimates on the second order derivatives with respect to the vector ...
Marco Bramanti
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Some remarks on Riesz transforms on exterior Lipschitz domains
Forum of Mathematics, SigmaLet $n\ge 2$ and $\mathcal {L}=-\mathrm {div}(A\nabla \cdot )$ be an elliptic operator on $\mathbb {R}^n$ . Given an exterior Lipschitz domain $\Omega $ , let $\mathcal {L}_D$ be the elliptic operator $\mathcal {L}$
Renjin Jiang, Sibei Yang
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Boundary partial Holder regularity for elliptic systems with non-standard growth
Electronic Journal of Differential Equations, 2018 We investigate regular points on the boundaries of elliptic systems with non-standard growth, in particular, so-called Orlicz growth. A regular point on the boundary in this paper is a point for which a weak solution to a system is Holder continuous ...
Jihoon Ok
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Dirichlet problem for general A-harmonic equations in simply connected domains
Доповiдi Нацiональної академiї наук УкраїниThe article is devoted to theorems on the existence, representation, and regularity of solutions to the Dirichlet problem with continuous data for general A-harmonic equation div A grad U = 0 in the real plane with matrix valued coefficients A.
В.Я. Гутлянський +3 more
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Parabolic equations with VMO coefficients in spaces with mixed norms [PDF]
, 2008 An $L_{q}(L_{p})$-theory of divergence and non-divergence form parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$, which, in particular, contains all measurable functions depending only on $t$. The method of proving simplifies the methods previously used in the case $p=q$.
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Regularity results for a class of nonlocal double phase equations with VMO coefficients
, 2023 We study a class of nonlocal double phase problems with discontinuous coefficients. A local self-improving property and a higher H\"older continuity result for weak solutions to such problems are obtained under the assumptions that the associated ...
Kim, Kyeongbae +2 more
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Partial regularity for parabolic systems with VMO-coefficients
, 2013 We establish partial regularity for vector-valued solutions to parabolic systems where the coefficients are possibly discontinuous with respect to (x,t). More precisely, we assume a VMO-condition with respect to the (x,t) and continuity with respect to u and prove Hölder continuity of the solutions outside of singular sets.
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