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On the continuation of solutions of non-autonomous semilinear parabolic problems

On the continuation of solutions of non-autonomous semilinear parabolic problems

Abstract We study non-autonomous parabolic equations with critical exponents in a scale of Banach spaces E σ , σ ∈ [0,1 + μ). We consider a suitable E 1+ε -solution and describe continuation properties of the solution. This concerns both a situation when the solution can be continued as an …