Results 61 to 70 of about 185 (140)

On Trace Regularity of Solutions to a Wave Equation with Homogeneous Neumann Boundary Conditions

, 2007
We prove an additional regularity of time derivative of the trace of solution to the wave equation on the 3D half space with the homogeneous Neumann boundary conditions. Key words: wave equation, boundary trace regularity.
I. A. Ryzhkova
core  

Besov Regularity for Interface Problems

, 1998
This paper is concerned with the Besov regularity of the solutions to interface problems in a segment S of the unit disk in R 2 : We investigate the smoothness of the solutions as measured in the specific scale B s ø (L ø (S)); 1=ø = s=2+1=p; of Besov
Dahlke, Stephan, Stephan Dahlke
core   +1 more source

Normalized solutions for the Choquard equations with critical nonlinearities

Advances in Nonlinear Analysis
This study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
doaj   +1 more source

On well-posedness and decay of strong solutions for a coupled Cahn–Hilliard system

Advances in Nonlinear Analysis
In this paper, we consider the Cauchy problem for a coupled Cahn–Hilliard system in R3 ${\mathbb{R}}^{3}$ . This system can be seen as the stationary system of a novel thermodynamically consistent three-phase model.
Duan Ning, Wang Yinghao, Zhao Xiaopeng
doaj   +1 more source

Resolvent approaches to elliptic regularity in stationary Fokker–Planck equations

Demonstratio Mathematica
This paper investigates the local regularity of solutions to stationary Fokker–Planck equations on an open set U⊂Rd $U\subset {\mathbb{R}}^{d}$ with d ≥ 2.
Lee Haesung
doaj   +1 more source

Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

Advanced Nonlinear Studies
We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Guan Pengfei, Huang Jiuzhou, Liu Jiawei
doaj   +1 more source

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

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

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

A new regularity criterion for weak solutions to the 3D micropolar fluid flows in terms of the pressure

, 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, Gala, Sadek, Ragusa, Maria Alessandra   +2 more
core   +1 more source

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
core   +1 more source