Cordes conditions and some alternatives for parabolic equations and discontinuous diffusion

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dc.creatorDokuchaev, Nikolai
dc.date2008-04-29
dc.date.accessioned2026-07-07T09:35:48Z
dc.date.available2026-07-07T09:35:48Z
dc.descriptionThe paper considers parabolic equations in non-divergent form with discontinuous coefficients at higher derivatives. Their investigation is most complicated because, in general, in the case of discontinuous coefficients, the uniqueness of a solution for nonlinear parabolic or elliptic equations can fail, and there is no a priory estimate for partial derivatives of a solution. In this paper, existence and regularity results are obtained under some Cordes type restrictions on the coefficients. The results are applied to diffusion processes.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0804.4519
dc.identifierhttp://arxiv.org/abs/0804.4519
dc.identifierDifferential equations 33 (4), English translation: 1997, pp. 433-442, in Russian: 1996, pp. 552-531
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159952
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject35K10, 60H10
dc.titleCordes conditions and some alternatives for parabolic equations and discontinuous diffusion
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