On the Gevrey regularity of hypoelliptic boundary value problems
نویسندگان
چکیده
منابع مشابه
Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations
We prove results on the propagation of Gevrey and analytic wave front sets for a class of C∞ hypoelliptic equations with double characteristics.
متن کاملBesov Regularity for Elliptic Boundary Value Problems
This paper studies the regularity of solutions to boundary value problems for Laplace's equation on Lipschitz domains in R d and its relationship with adaptive and other nonlinear methods for approximating these solutions. The smoothness spaces which determine the eeciency of such nonlinear approximation in L p (() are the Besov spaces B (L (()), := (=d + 1=p) ?1. Thus, the regularity of the so...
متن کاملBoundary Value Problems and Regularity on Polyhedral Domains
We prove a well-posedness result for second order boundary value problems in weighted Sobolev spaces on curvilinear polyhedral domains in Rn with Dirichlet boundary conditions. Our typical weight is the distance to the set of singular boundary points.
متن کاملGevrey Regularity for Navier–stokes Equations under Lions Boundary Conditions
The Navier–Stokes system is considered in a compact Riemannian manifold. Gevrey class regularity is proven under Lions boundary conditions in the cases of the 2D Rectangle, Cylinder, and Hemisphere. The cases of the 2D Sphere and 2D and 3D Torus are also revisited. MSC2010: 35Q30, 76D03
متن کاملRegularity estimates for elliptic boundary value problems in Besov spaces
We consider the Dirichlet problem for Poisson’s equation on a nonconvex plane polygonal domain Ω. New regularity estimates for its solution in terms of Besov and Sobolev norms of fractional order are proved. The analysis is based on new interpolation results and multilevel representations of norms on Sobolev and Besov spaces. The results can be extended to a large class of elliptic boundary val...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1988
ISSN: 0022-247X
DOI: 10.1016/0022-247x(88)90099-6