Oblique derivative problem for non-divergence parabolic equations with discontinuous in time coefficients
2014 (English)In: Proceedings of the St. Petersburg Mathematical Society Volume XV: Advances in Mathematical Analysis of Partial Differential Equations / [ed] Darya Apushkinskaya; Alexander I. Nazarov, American Mathematical Society (AMS), 2014, , 21 p.177-191 p.Chapter in book (Other academic)
We consider an oblique derivative problem for non-divergence parabolic equations with discontinuous in t coefficients in a half-space. We obtain weighted coercive estimates of solutions in anisotropic Sobolev spaces. We also give an application of this result to linear parabolic equations in a bounded domain. In particular, if the boundary is of class C1,δ , δ∈(0,1] , then we present a coercive estimate of solutions in weighted anisotropic Sobolev spaces, where the weight is a power of the distance to the boundary.
Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2014. , 21 p.177-191 p.
, American Mathematical Society. Translations, ISSN 0065-9290 ; 2 Vol. 232
IdentifiersURN: urn:nbn:se:liu:diva-121596ISBN: 9781470415518ISBN: 1470415518OAI: oai:DiVA.org:liu-121596DiVA: diva2:857117