Solutions of some possibly noncoercive evolution problems with regular data
- 1 January 1972
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 1 (4) , 381-395
- https://doi.org/10.1080/00036817208839024
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.Keywords
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