Sobolev equations for nonlinear dispersive systems†
- 1 January 1978
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 7 (4) , 297-308
- https://doi.org/10.1080/00036817808839200
Abstract
Global existence and stability results are obtained for a semifinear evolution equation of Sobolev type in a Banach space. The nonlinear term is assumed to be uniformly Lipschitz on each bounded set and to satisfy a dissipation-type inequality. Applications include various initial-boundary value problems for certain partial differential equations which have been used to model unidirectional long waves in nonlinear dispersive systemsKeywords
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