Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

• Autorzy: Vagif S. Guliyev , Mehriban N. Omarova
• Języki publikacji: EN

Abstrakty

EN

We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized weighted Morrey space Mp,ϕ(Q, w), than the strong solution belongs to the generalized weighted Sobolev- Morrey space [...] W˙2,1p,φ(Q,ω)$\dot W_{2,1}^{p,\varphi }\left( {Q,\omega } \right)$.

Słowa kluczowe

EN

Generalized weighted Morrey spaces; Uniformly parabolic operators; Regular oblique derivative problem; VMO

Kategorie tematyczne

• 35R05: Partial differential equations with discontinuous coefficients or data
• 35D35: Strong solutions
• 35K20: Initial-boundary value problems for second-order parabolic equations
• 35B45: A priori estimates

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 49-61

Daty

wydano

2016-01-01

otrzymano

2015-11-15

zaakceptowano

2016-01-14

online

2016-02-13

Twórcy

autor

Vagif S. Guliyev

• Ahi Evran University, Department of Mathematics, 40100, Kirsehir, Turkey and Institute of Mathematics and Mechanics, AZ 1141 Baku,

autor

Mehriban N. Omarova

• Institute of Mathematics and Mechanics, AZ 1141 Baku, Azerbaijan and Baku State University, Baku, AZ 1148,

Identyfikatory

DOI

10.1515/math-2016-0006