ON THE SOLVABILITY OF A SOME NON-LINEAR PARABOLIC PROBLEMS IN THE CLASS OF BV FUNCTIONS

Authors
DIAZ JI PADIAL JF
Citation
Ji. Diaz et Jf. Padial, ON THE SOLVABILITY OF A SOME NON-LINEAR PARABOLIC PROBLEMS IN THE CLASS OF BV FUNCTIONS, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 515-516
Citations number
7
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
2
Pages
515 - 516
Database
ISI
SICI code
0044-2267(1996)76:<515:OTSOAS>2.0.ZU;2-X
Abstract
In this comunication we present some results on the uniqueness and exi stence of BV solutions for the Cauchy-Dirichlet problem associated to the nonlinear diffusion equation b(u)(t) - div(\del u - k(b(u))e\(p-2) (del u - k(b(u))e)) + g(x,u) = f(t,x). This problem arises in the stud y of some turbulent regimes. The solvability, of this problem is estab lished in BV spaces.