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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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##### References:
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