Theorems for unique solvability and approximation of certain boundary-value problems for systems of equations that describe an oceanic flow

1980 ◽  
Vol 20 (6) ◽  
pp. 852-867 ◽  
Author(s):  
Yu. Ya. Belov
Keyword(s):  
Boundary Value Problems ◽  
Unique Solvability ◽  
Boundary Value ◽  
Systems Of Equations

Screen type mixed boundary value problems for anisotropic pseudo-Maxwell’s equations

2016 ◽  
Vol 23 (4) ◽  
pp. 511-518
Author(s):  
Otar Chkadua ◽  
Roland Duduchava ◽  
David Kapanadze
Keyword(s):  
Boundary Value Problems ◽  
Unique Solvability ◽  
Bilinear Form ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Potential Method ◽  
Mixed Boundary Value Problems ◽  
Well Posed

AbstractWe investigate screen type mixed boundary value problems for anisotropic pseudo-Maxwell’s equations. We show that the problems with tangent traces are well posed in tangent Sobolev spaces. The unique solvability results are proven based on the potential method and coercivity result of Costabel on the bilinear form associated with pseudo-Maxwell’s equations.

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