$L^p$ theory for fractional gradient PDE with $VMO$ coefficients
نویسندگان
چکیده
منابع مشابه
Parabolic Equations with Variably Partially Vmo Coefficients
We prove the W 1,2 p -solvability of second order parabolic equations in nondivergence form in the whole space for p ∈ (1,∞). The leading coefficients are assumed to be measurable in one spatial direction and have vanishing mean oscillation (VMO) in the orthogonal directions and the time variable in each small parabolic cylinder with the direction depending on the cylinder. This extends a recen...
متن کاملOn Divergence Form SPDEs with VMO Coefficients
We present several results on solvability in Sobolev spaces W 1 p of SPDEs in divergence form in the whole space.
متن کاملParabolic and Elliptic Systems with Vmo Coefficients
We consider second order parabolic and elliptic systems with leading coefficients having the property of vanishing mean oscillation (VMO) in the spatial variables. An Lq −Lp theory is established for systems both in divergence and non-divergence form. Higher order parabolic and elliptic systems are also discussed briefly.
متن کاملParabolic and Elliptic Equations with Vmo Coefficients
An Lp-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class V MOx, which, in particular, contains all functions independent of x. Weak uniqueness of the martingale problem associated with such equations is obtained.
متن کاملParabolic Equations with Vmo Coefficients in Spaces with Mixed Norms
An Lq(Lp)-theory of divergence and non-divergence form parabolic equations is presented. The main coefficients are supposed to belong to the class V MOx, which, in particular, contains all measurable functions depending only on t. The method of proving simplifies the methods previously used in the case p = q.
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: Rendiconti Lincei - Matematica e Applicazioni
سال: 2015
ISSN: 1120-6330
DOI: 10.4171/rlm/714