Titlebook: Evolution Equations, Semigroups and Functional Analysis; In Memory of Brunell Alfredo Lorenzi,Bernhard Ruf Book 2002 Springer Basel AG 2002

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The Cauchy Problem for a Semilinear Heat Equation with Singular Initial Data,ell known that if the initial data .. belong to L∞(ℝ.) then there exist .(..) > 0 and a unique solution . ∈ . ([0, .[, L℞(ℝ.)). In this paper we will consider initial data .. which do not belong to L℞(ℝ.). At first we will review the known results about this problem; then we will present some new re

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