scholarly journals Chapter 3 Current issues on singular and degenerate evolution equations

2002 ◽  
pp. 169-286 ◽  
Author(s):  
Emmanuele DiBenedetto ◽  
José Miguel Urbano ◽  
Vincenzo Vespri
Keyword(s):  
Evolution Equations ◽  
Degenerate Evolution Equations

scholarly journals A Class of Fractional Degenerate Evolution Equations with Delay

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1700
Author(s):  
Amar Debbouche ◽  
Vladimir E. Fedorov
Keyword(s):  
Unique Solvability ◽  
Evolution Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Systems Of Equations ◽  
Fractional Differential ◽  
Initial Boundary Value ◽  
Degenerate Type ◽  
Degenerate Evolution Equations ◽  
Equations With Delay

We establish a class of degenerate fractional differential equations involving delay arguments in Banach spaces. The system endowed by a given background and the generalized Showalter–Sidorov conditions which are natural for degenerate type equations. We prove the results of local unique solvability by using, mainly, the method of contraction mappings. The obtained theory via its abstract results is applied to the research of initial-boundary value problems for both Scott–Blair and modified Sobolev systems of equations with delays.

scholarly journals Regularity for degenerate evolution equations with strong absorption

2018 ◽  
Vol 264 (12) ◽  
pp. 7270-7293 ◽  
Author(s):  
João Vitor da Silva ◽  
Pablo Ochoa ◽  
Analia Silva
Keyword(s):  
Evolution Equations ◽  
Strong Absorption ◽  
Degenerate Evolution Equations
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