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December  2008, 22(4): 989-1008. doi: 10.3934/dcds.2008.22.989

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

1. 

Università degli Studi di Bologn, Dipartimento di Matematica, Piazza di Porta S. Donato, 5, 40126 Bologna

2. 

Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133, Milano

3. 

Hirai Sanso 12-13, Takarazuka 665-0817

4. 

Department of Applied Physics, Osaka University, Suita, Osaka, 565-0871

Received  July 2007 Revised  October 2007 Published  September 2008

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.
Citation: Angelo Favini, Alfredo Lorenzi, Hiroki Tanabe, Atsushi Yagi. An $L^p$-approach to singular linear parabolic equations with lower order terms. Discrete & Continuous Dynamical Systems - A, 2008, 22 (4) : 989-1008. doi: 10.3934/dcds.2008.22.989
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