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Abstract
We consider some weak first order evolution equations with variable domains of the form (1.1). A framework is presented wherein regularity of the data /and u0 is systematically inserted into the formulation of the existence problem and a general abstract existence theorem is proved. It is shown that this theorem applies to a wide class of concrete noncoercive problems and gives new results even for constant domain problems.
Research supported in part by NSF grants GP 11798 and GP 19590
Research supported in part by NSF grant GP 19590
Research supported in part by NSF grants GP 11798 and GP 19590
Research supported in part by NSF grant GP 19590
Notes
Research supported in part by NSF grants GP 11798 and GP 19590
Research supported in part by NSF grant GP 19590