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NONCLASSICAL EQUATIONS OF MATHEMATICAL PHYSICS. PHASE SPACE OF SEMILINEAR SOBOLEV TYPE EQUATIONS
The article surveys the results concerning the morphology of phase spaces for semilinear Sobolev type equations. The first three paragraphs present specific boundary value problems for Sobolev type partial differential equations whose phase spaces are simple smooth Banach manifolds. The last section contains the mathematical models whose phase spaces lie …