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Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients. / Kozlov, V.; Nazarov, A.
American Mathematical Society Translations: Series 2. American Mathematical Society, 2014. стр. 177-192.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике › научная › Рецензирование
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TY - CHAP
T1 - Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients
AU - Kozlov, V.
AU - Nazarov, A.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
UR - https://www.diva-portal.org/smash/get/diva2:857117/FULLTEXT01.pdf
UR - https://www.ams.org/books/trans2/069/
M3 - Article in an anthology
SN - 9780821817698
SP - 177
EP - 192
BT - American Mathematical Society Translations: Series 2
PB - American Mathematical Society
ER -
ID: 4685740