A quantitative discrete H2-regularity estimate for the Shortley-Weller scheme in convex domains

1987 ◽  
Vol 52 (5) ◽  
pp. 523-537 ◽  
Author(s):  
Winfried Auzinger
Keyword(s):  
Convex Domains ◽  
Regularity Estimate

scholarly journals Lorentz spaces in action on pressureless systems arising from models of collective behavior

2021 ◽  
Author(s):  
Raphaël Danchin ◽  
Piotr Bogusław Mucha ◽  
Patrick Tolksdorf
Keyword(s):  
Initial Data ◽  
Collective Behavior ◽  
Existence And Uniqueness ◽  
Maximal Regularity ◽  
Parabolic Systems ◽  
Lorentz Spaces ◽  
Regularity Estimate ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Time Existence

AbstractWe are concerned with global-in-time existence and uniqueness results for models of pressureless gases that come up in the description of phenomena in astrophysics or collective behavior. The initial data are rough: in particular, the density is only bounded. Our results are based on interpolation and parabolic maximal regularity, where Lorentz spaces play a key role. We establish a novel maximal regularity estimate for parabolic systems in $$L_{q,r}(0,T;L_p(\Omega ))$$ L q , r ( 0 , T ; L p ( Ω ) ) spaces.

scholarly journals q ‐pseudoconvex and q ‐holomorphically convex domains

2019 ◽  
Vol 292 (12) ◽  
pp. 2619-2623
Author(s):  
George‐Ionuţ Ioniţă ◽  
Ovidiu Preda
Keyword(s):  
Convex Domains

scholarly journals Estimates for invariant metrics on $\mathbb C$-convex domains

2011 ◽  
Vol 363 (12) ◽  
pp. 6245-6256 ◽  
Author(s):  
Nikolai Nikolov ◽  
Peter Pflug ◽  
Włodzimierz Zwonek
Keyword(s):  
Invariant Metrics ◽  
Convex Domains
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