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Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\). (English) Zbl 0278.35052

MSC:
35K55 Nonlinear parabolic equations
35K25 Higher-order parabolic equations
35B99 Qualitative properties of solutions to partial differential equations
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
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