Linear parabolic problems induce isomorphisms in Sobolev spaces of generalized smoothness and yield necessary and sufficient conditions for the generalized regularity of solutions and their partial derivatives.
Igor Sikorsky Kyiv Polytechnic Institute
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Matrix parabolic problems in Sobolev spaces of generalized smoothness
Linear parabolic problems induce isomorphisms in Sobolev spaces of generalized smoothness and yield necessary and sufficient conditions for the generalized regularity of solutions and their partial derivatives.