An $L^p$-approach to singular linear parabolic equations with lower order terms

Pages: 989 - 1008, Volume 22, Issue 4, December 2008

doi:10.3934/dcds.2008.22.989       Abstract        Full Text (225.9K)       Related Articles

Angelo Favini - Università degli Studi di Bologn, Dipartimento di Matematica, Piazza di Porta S. Donato, 5, 40126 Bologna, Italy (email)
Alfredo Lorenzi - Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133, Milano, Italy (email)
Hiroki Tanabe - Hirai Sanso 12-13, Takarazuka 665-0817, Japan (email)
Atsushi Yagi - Department of Applied Physics, Osaka University, Suita, Osaka, 565-0871, Japan (email)

Abstract: Singular means here that the parabolic equation is neither in normal form nor can it be reduced to such a form. For this class of problems we generalizes the results proved in [4] introducing first-order terms.

Keywords:  Linear singular integro-differential equations of parabolic type. Existence and uniqueness results. Spectral analysis of linear elliptic operators
Mathematics Subject Classification:  Primary: 35K20. Secondary 35K65, 35J25, 35P05

Received: July 2007;      Revised: October 2007;      Published: September 2008.