Results 81 to 90 of about 295 (155)

İzotropik Olmayan Potansiyel Teorik Eşitsizlik

, 2018
In this paper, the new weighted inequalities were derived by ?-distance which is similar to the given inequality for the potential operator defined in [1]. The results presented here would provide extensions of those given in earlier works.
Hüseyin Yıldırım, Merve Esra Yıldırım, Abdullah Akkurt   +2 more
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On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients

, 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, Fanelli, Francesco, Colombini, Ferruccio, Métivier, Guy   +3 more
core   +1 more source

Global strong solution of compressible flow with spherically symmetric data and density-dependent viscosities

Advances in Nonlinear Analysis
In 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
doaj   +1 more source

Boundary regularity of an isotropically censored nonlocal operator. [PDF]

Calc Var Partial Differ Equ, 2023
Chan H.
europepmc   +1 more source

Remark on the analyticity of the fractional Fokker-Planck equation

Advances in Nonlinear Analysis
In 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
doaj   +1 more source

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, Ragusa, M,, Barbagallo, A., Gala, S., Ragusa, M, A   +4 more
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Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness [PDF]

, 2014
In this paper linear stochastic transport and continuity equations with drift in critical Lp spaces are considered. In this situation noise prevents shocks for the transport equation and singularities in the density for the continuity equation, starting ...
Beck, Lisa, Flandoli, Franco, Maurelli, Mario, Gubinelli, Massimilano, Gubinelli, Massimiliano   +4 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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Regular and irregular solutions for a class of elliptic systems in the critical dimension

, 2020
We study regularity properties of weak solutions in the Sobolev space W 1,n 0 to inhomogeneous elliptic systems under a natural growth condition and on bounded Lipschitz domains in R n , i. e.
Lisa Beck, Jens Frehse
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Ginzburg-Landau Dynamics With A Time-Dependent Magnetic Field

, 1996
. The time-dependent Ginzburg-Landau equations of superconductivity define a dynamical process when the applied magnetic field varies with time. Sufficient conditions (in terms of the time rate of change of the applied field) are given that, if satisfied,
Peter Tak'ac, Hans Kaper
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