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E. Noussair (1973)
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Inspired by the theory of semigroups of growth α, we construct an evolution process of growth α. The abstract theory is applied to study semilinear singular non-autonomous parabolic problems. We prove that, under natural assumptions, a reasonable concept of solution can be given to such semilinear singularly non-autonomous problems. Applications are considered to non-autonomous parabolic problems in space of Hölder continuous functions and to a parabolic problem in a domain $$\Omega \subset {\mathbb{R}}^n$$ with a one dimensional handle.
Journal of Evolution Equations – Springer Journals
Published: Nov 1, 2008
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