Results 61 to 70 of about 191 (141)
On the regularity of weak solutions of the Boussinesq equations in Besov spaces
, 2019 The main issue addressed in this paper concerns an extension of a result by Z. Zhang who proved, in the context of the homogeneous Besov spaceḂ −1 ∞,∞ (R 3), that, if the solution of the Boussinesq equation (1.1) below (starting with an initial data in H
Thera, Michel +3 more
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Morrey estimates for a class of elliptic equations with drift term
Advances in Nonlinear Analysis, 2019 We consider the following boundary value ...
Cirmi G. R., D’Asero S., Leonardi S.
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W2,p-Regularity of Lp Viscosity Solutions to Fully Nonlinear Elliptic Equations with Low-Order Terms
In this paper, we consider the following fully nonlinear elliptic equation F(D2u, Du, x) = f(x), where the operator F satisfies structure condition and the gradient of solution has ...
Hao, Shuhan, Zhang, Yao, Zhang, Zhenqiu
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, 2017 The present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuous, uniformly in time and space variables.
Santo, Daniele, Del +3 more
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Advances in Nonlinear AnalysisIn this article, the Cauchy problem of a compressible Navier-Stokes system with density-dependent viscosities when the initial data are spherically symmetric is considered. Firstly, we construct the classical solution for the system in Ba(t)={r:0≤r≤a(t)}{
Guo Zhenhua, Xu Lei, Zhang Xueyao
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Demonstratio MathematicaThis paper investigates a Dirichlet problem for a system of logarithmic double-phase equations with variable exponents. The system is given by−div|∇u|α1(τ)−2∇u+μ(τ)log(e+|∇u|)+|∇u|β1(τ)(e+|∇u|)|∇u|β1(τ)−2∇u=h1(u,v) in D,−div|∇v|α2(τ)−2∇v+μ(τ)log(e+|∇v|)+|
Ahmed Ahmed +2 more
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An unstable elliptic free boundary problem arising in solid combustion
, 2008 We prove a regularity result for the unstable elliptic free boundary problem ∆u = −χ {u>0} (0.1) related to traveling waves in a problem arising in solid combustion. The maximal solution and every local minimizer of the energy are regular, that is, {u
R. Monneau, G. S. Weiss
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Remark on the analyticity of the fractional Fokker-Planck equation
Advances in Nonlinear AnalysisIn this note, we study the Cauchy problem of the fractional Fokker-Planck equation. We prove that the solution to the Cauchy problem enjoys the analytic smoothing effect with an L2{L}^{2} initial datum for positive time, and the evolution of the analytic
Xu Yan, Yang Keshun, Zhang Jianzhong
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, 2020 This note aims to giving a new regularity criterion for weak solutions to the three-dimensional micropolar fluid flows by imposing a critical growth condition on the field of pressure.
Thera, Michel +2 more
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Boundary regularity of an isotropically censored nonlocal operator. [PDF]
Calc Var Partial Differ Equ, 2023 Chan H.
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