Regularity and capacity for the fractional dissipative operator
نویسندگان
چکیده
منابع مشابه
Regularity of the obstacle problem for a fractional power of the laplace operator
Given a function φ and s ∈ (0, 1), we will study the solutions of the following obstacle problem 1. u ≥ φ in R 2. (−4)u ≥ 0 in R 3. (−4)u(x) = 0 for those x such that u(x) > φ(x) 4. lim|x|→+∞ u(x) = 0 We show that when φ is smooth, the solution u is in the space C for every α < s. In the case that the contact set {u = φ} is convex, we prove the optimal regularity result u ∈ C. When φ is not smo...
متن کاملthe search for the self in becketts theatre: waiting for godot and endgame
this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...
15 صفحه اولOn Generalization of Sturm-Liouville Theory for Fractional Bessel Operator
In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions...
متن کاملA Regularity Criterion for the Dissipative Quasi-geostrophic Equations
We establish a regularity criterion for weak solutions of the dissipative quasi-geostrophic equations in mixed time-space Besov spaces.
متن کاملIs the linearized Boltzmann-Enskog operator dissipative?
In this paper, it is shown that the linearized Boltzmann-Enskog collision operator cannot be dissipative in the L2-space setting contrarily to the linearized Boltzmann operator. Some estimates useful for the spectral theory are given. The Enskog equation is a modification of the Boltzmann kinetic equation, in which each particle is considered as a hard sphere with nonzero diameter a > 0 (and th...
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 Differential Equations
سال: 2015
ISSN: 0022-0396
DOI: 10.1016/j.jde.2015.04.033