Uniqueness for second-order parabolic equations with discontinuous coefficients

Autor:	Anna Piro Grimaldi, M. Cristina Cerutti
Rok vydání:	2006
Předmět:	Sobolev space Matrix (mathematics) Hyperplane Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Principal part Uniqueness Classification of discontinuities Parabolic partial differential equation Eigenvalues and eigenvectors Mathematics
Zdroj:	Annali di Matematica Pura ed Applicata. 186:145-153
ISSN:	1618-1891 0373-3114
Popis:	We prove uniqueness of the good solution to the Cauchy–Dirichlet (C–D) problem for linear non-variational parabolic equations with the coefficients of the principal part with discountinuities, in cases in which in general uniqueness of strong solutions in Sobolev spaces does not hold. In particular, we prove uniqueness when the discontinuities of the coefficients are contained in a hyperplane t = t0 and, with an extra condition on the eigenvalues of the matrix, in a line segment x = x0.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f5c538bd521032088f128e65058a2b1a https://doi.org/10.1007/s10231-005-0174-4 Zobrazit plný text záznamu Full text from SpringerLink