Singular means here that the parabolic equation is 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) Lp-spaces. Various improvements to [2], [3] are given.
An $L\sp p$-approach to singular linear parabolic equations in bounded domains / A. Favini, A. Lorenzi, H. Tanabe, A. Yagi. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - 42:2(2005), pp. 385-406.
An $L\sp p$-approach to singular linear parabolic equations in bounded domains
A. Lorenzi;
2005
Abstract
Singular means here that the parabolic equation is 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) Lp-spaces. Various improvements to [2], [3] are given.
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