Boundary value problems for Dirac operators and Maxwell's equations in non-smooth domains

2002 ◽  
Vol 25 (16-18) ◽  
pp. 1355-1369 ◽  
Author(s):  
Marius Mitrea
Keyword(s):  
Boundary Value Problems ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Boundary Value ◽  
Dirac Operators

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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