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Some recent methods for partial differential equations of divergence form

Abstract:

Some recent methods for solving second-order nonlinear partial differential equations of divergence form and related nonlinear problems are surveyed. These methods include entropy methods via the theory of divergence-measure fields for hyperbolic conservation laws, kinetic methods via kinetic formulations for degenerate parabolic-hyperbolic equations, and free-boundary methods via free-boundary iterations for multidimensional transonic shocks for nonlinear equation of mixed elliptic-hyperboli...

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Journal:
Bulletin of the Brazilian Mathematical Society
Volume:
34
Issue:
1
Pages:
107-144
Publication date:
2003-04-05
ISSN:
0100-3569
URN:
uuid:c76e8b3a-f09f-4f24-8e21-18afbd0c7d80
Source identifiers:
203206
Local pid:
pubs:203206

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