End-point maximal $$L^1$$ L 1 -regularity for the Cauchy problem to a parabolic equation with variable coefficients

2015 ◽  
Vol 365 (1-2) ◽  
pp. 661-705 ◽  
Author(s):  
Takayoshi Ogawa ◽  
Senjo Shimizu
Keyword(s):  
Cauchy Problem ◽  
Parabolic Equation ◽  
Variable Coefficients ◽  
End Point ◽  
The Cauchy Problem

scholarly journals On the Cauchy problem for a degenerate parabolic differential equation

1998 ◽  
Vol 21 (3) ◽  
pp. 555-558
Author(s):  
Ahmed El-Fiky
Keyword(s):  
Differential Equation ◽  
Cauchy Problem ◽  
Parabolic Equation ◽  
Degenerate Parabolic Equation ◽  
Parabolic Differential Equation ◽  
The Cauchy Problem ◽  
Uniqueness Of The Solution ◽  
Degenerate Parabolic

The aim of this work is to prove the existence and the uniqueness of the solution of a degenerate parabolic equation. This is done using H. Tanabe and P.E. Sobolevsldi theory.

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