Osaka Journal of Mathematics

An $L^{p}$-approach to singular linear parabolic equations in bounded domains

Angelo Favini, Alfredo Lorenzi, Hiroki Tanabe, and Atsushi Yagi

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Singular means here that the parabolic equation is \textit{not} in normal form neither can it be reduced to such a form. For this class of problems, following the operator approach used in [1], we prove global in time existence and uniqueness theorems related to (spatial) $L^p$-spaces. Various improvements to [2], [3] are given.

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Osaka J. Math., Volume 42, Number 2 (2005), 385-406.

First available in Project Euclid: 21 July 2006

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Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi. An $L^{p}$-approach to singular linear parabolic equations in bounded domains. Osaka J. Math. 42 (2005), no. 2, 385--406.

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