منابع مشابه
Partial Differential Equations of Sobolev-galpern Type
A mixed initial and boundary value problem is considered for a partial differential equation of the form Mu t (x, t)+Lu(x, £)=0, where M and L are elliptic differential operators of orders 2 m and 21, respectively, with m ^ I. The existence and uniqueness of a strong solution of this equation in H ι 0 (G) is proved by semigroup methods. We are concerned here with a mixed initial boundary value ...
متن کاملNumerical Solution for Nonlocal Sobolev-type Differential Equations
We present a numerical approximate solution to Sobolev-type differential equation subject to nonlocal initial boundary conditions. A Laplace transform method is described for the solution of considered equation. Following Laplace transform of the original problem, an appropriate method of solving differential equations is used to solve the resultant time-independent modified equation and soluti...
متن کاملSobolev Regularity for Monge-Ampère Type Equations
In this note we prove that, if the cost function satisfies some necessary structural conditions and the densities are bounded away from zero and infinity, then strictly c-convex potentials arising in optimal transportation belong to W 2,1+κ loc for some κ > 0. This generalizes some recents results [10, 11, 24] concerning the regularity of strictly convex Alexandrov solutions of the Monge-Ampère...
متن کاملDifferential equations for discrete Laguerre-Sobolev orthogonal polynomials
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Laguerre–Sobolev bilinear form with mass point at zero. In particular we construct the orthogonal polynomials using certain Casorati determinants. Using this construction, we prove that they are eigenfunctions of a differential operator (which will be explicitly constructed). Moreover,...
متن کاملPartial Differential Equations Γ -convergence and Sobolev norms
We study a Γ -convergence problem related to a new characterization of Sobolev spaces W1,p(RN) (p > 1) established in H.-M. Nguyen [H.-M. Nguyen, Some new characterizations of Sobolev spaces, J. Funct. Anal. 237 (2006) 689–720] and J. Bourgain and H.-M. Nguyen [J. Bourgain, H.-M. Nguyen, A new characterization of Sobolev spaces, C. R. Acad. Sci. Paris, Ser. I 343 (2006) 75–80]. We can also hand...
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: Applied Mathematics and Computation
سال: 1978
ISSN: 0096-3003
DOI: 10.1016/0096-3003(78)90018-8