Parabolic Boundary Value Problems in Half-Space

1998 ◽  
pp. 79-149 ◽  
Author(s):  
Samuil D. Eidelman ◽  
Nicolae V. Zhitarashu
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Boundary Value ◽  
Parabolic Boundary ◽  
Parabolic Boundary Value Problems

scholarly journals Boundary value problems of elliptic and parabolic type with boundary data of negative regularity

2021 ◽  
Author(s):  
Felix Hummel
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Boundary Data ◽  
Boundary Value ◽  
Parabolic Type ◽  
Normal Direction ◽  
Parabolic Boundary ◽  
Parabolic Boundary Value Problems ◽  
Mixed Smoothness

AbstractWe study elliptic and parabolic boundary value problems in spaces of mixed scales with mixed smoothness on the half-space. The aim is to solve boundary value problems with boundary data of negative regularity and to describe the singularities of solutions at the boundary. To this end, we derive mapping properties of Poisson operators in mixed scales with mixed smoothness. We also derive $$\mathcal {R}$$ R -sectoriality results for homogeneous boundary data in the case that the smoothness in normal direction is not too large.

Nonlocal Parabolic Boundary-Value Problems with Singularities

2015 ◽  
Vol 208 (3) ◽  
pp. 327-343 ◽  
Author(s):  
І. D. Pukal’s’kyi ◽  
I. M. Isaryuk
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Parabolic Boundary ◽  
Parabolic Boundary Value Problems
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