Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space Public Deposited

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  • An existence theory is developed for a semilinear evolution equation in Banach space which is modeled on boundary value problems for partial differential equations of Sobolev type. The operators are assumed to be measurable and to satisfy coercive estimates which are not necessarily uniform in their time dependence, and to satisfy Lipschitz conditions on the nonlinear term. Applications are briefly indicated.
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  • Showalter, R. E. (1972). Existence and representation theorems for a semilinear Sobolev equation in Banach space. SIAM Journal on Mathematical Analysis, 3(3), 527-543. doi:10.1137/0503051
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  • description.provenance : Approved for entry into archive by Erin Clark(erin.clark@oregonstate.edu) on 2014-11-05T21:45:23Z (GMT) No. of bitstreams: 1 ShowalterRalphMathematicsExistenceRepresentationTheorems.pdf: 1731741 bytes, checksum: 83deea9830afe935817b050a40eca921 (MD5)
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