Valdinoci, The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains, Adv. Math., to appear.Xavier Ros-Oton and Enrico Valdinoci, The Dirichlet problem for non- local operators with singular kernels: convex and nonconvex domains, preprint http://arxiv.org...
We study the Dirichlet problem for the non-local diffusion equation$u_t=\\int\\{u(x+z,t)-u(x,t)\\}\\dmu(z)$, where $\\mu$ is a $L^1$ function and$``u=\\phi$ on $\\partial\\Omega\\times(0,\\infty)$'' has to be understood in anon-classical sense. We prove ...
Small Order Asymptotics of the Dirichlet Eigenvalue Problem for the Fractional Laplacian Logarithmic LaplacianUniform regularityNONLOCAL OPERATORSPOTENTIAL-THEORYREGULARITYWe study the asymptotics of Dirichlet eigenvalues and eigenfunctions of the ... PA Feulefack,S Jarohs,T Weth - 《Journal of Fourier ...
Dirichlet problems for degenerate nonlinear elliptic equations of Bellman type are studied, where is a linear elliptic operator of second order. Under cert... L Nirenberg 被引量: 10发表: 1976年 ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS. II In this paper, the Dirichlet problem is studied for deg...
This paper deals with the Dirichlet problem for second order linear elliptic equations in unbounded domains of the plane in weighted Sobolev spaces. We prove an a priori bound and an existence and uniqueness result. MSC: Primary 35J25, 35B45, 35R05 Keywords: elliptic equations; discontinuous coe...
Dirichlet’s Problem with Entire Data Posed on an Ellipsoidal Cylinder We consider the Dirichlet problem for Laplace’s equation with real-analytic data posed on the boundary of a cylinder. If the base of the cylinder is an el... D Khavinson,E Lundberg,H Render - 《Potential Analysis》 被...
Under the mild conditions by using the theory of the generalized Sobolev space and minimax theory we get the existence of solutions for a wide class of nonlinear Dirichlet problem as follows {ddxi[Gi(x,Du)]+f(x,u)=0,x∈Ω,u|∂Ω=0,where Ω is a bounded domain in Rn,Gi(x,q)=...
A Dirichlet problem for non-elliptic partial differential equations of higher orders is also considered. AMS Mathematics Subject Classification 60H15 - 35R60关键词: 60H15 35R60 Abstract differential equations closed linear operators Dirichlet problem abstract non-elliptic partial differential equations ...
Starting from this game, we heuristically derive a deterministic nonlocal integrodifferential equation that we call the "infinity fractional Laplacian." We study existence, uniqueness, and regularity, both for the Dirichlet problem and for a double-obstacle problem, both problems having a natural ...
The paper deals with the study of the Cauchy–Dirichlet problem for the class of hyperbolic second order operators with double characteristics in the prese... A Barbagallo,V Esposito - 《Journal of Mathematical Analysis & Applications》 被引量: 1发表: 2016年 The Dirichlet problem in an infinite...