Fujita exponents for a space–time weighted parabolic problem in bounded domains

2021 ◽  
Vol 62 ◽  
pp. 103358
Author(s):  
Xizheng Sun ◽  
Bingchen Liu ◽  
Fengjie Li
Keyword(s):  
Parabolic Problem ◽  
Space Time ◽  
Bounded Domains

Fractional abstract Cauchy problem on complex interpolation scales

2020 ◽  
Vol 23 (4) ◽  
pp. 1125-1140
Author(s):  
Andriy Lopushansky ◽  
Oleh Lopushansky ◽  
Anna Szpila
Keyword(s):  
Cauchy Problem ◽  
Time Derivative ◽  
Abstract Cauchy Problem ◽  
Initial Boundary ◽  
Sectorial Operator ◽  
Complex Interpolation ◽  
Bounded Domains ◽  
Initial Boundary Value Problems ◽  
Fractional Time Derivative ◽  
Initial Boundary Value

AbstractAn fractional abstract Cauchy problem generated by a sectorial operator is investigated. An inequality of coercivity type for its solution with respect to a complex interpolation scale generated by a sectorial operator with the same parameters is established. An application to differential parabolic initial-boundary value problems in bounded domains with a fractional time derivative is shown.

Finitely valent locally biholomorphic mappings of bounded domains

2011 ◽  
Vol 52 (1) ◽  
pp. 139-146
Author(s):  
V. V. Starkov
Keyword(s):  
Bounded Domains
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