On viscosity solutions for nontotally parabolic fully nonlinear equations.
In: Journal of Mathematical Sciences, Jg. 93 (1999-02-28), Heft 5, S. 697-710
Online
academicJournal
Zugriff:
It is shown how to prove global unique solvability of the first initial-boundary value problem in the class of continuous viscosity solutions for some classes of equations −u t +F(u x ,u xx )=g(x, t, u x ), where F(p, A) is elliptic only on some nonlinear subsets of values of the arguments (p, A). For this purpose we use the techniques developed in the theory of viscosity solutions for degenerate elliptic equations. Bibliography: 12 titles. [ABSTRACT FROM AUTHOR]
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| Titel: |
On viscosity solutions for nontotally parabolic fully nonlinear equations.
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|---|---|
| Autor/in / Beteiligte Person: | Ladyzhenskaya, O. |
| Link: | |
| Zeitschrift: | Journal of Mathematical Sciences, Jg. 93 (1999-02-28), Heft 5, S. 697-710 |
| Veröffentlichung: | 1999 |
| Medientyp: | academicJournal |
| ISSN: | 1072-3374 (print) |
| DOI: | 10.1007/BF02366848 |
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