On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces

Mathematical Methods in the Applied Sciences

Volumn 24, Issue 16, 2001, Pages 1289-1303

  Colton, David ^a   Kress, Rainer ^a,b  

^a UNIVERSITY OF DELAWARE   (United States)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE SCATTERING; APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC FIELDS; INTEGRAL EQUATIONS; INTEGRATION; MAXWELL EQUATIONS; SAMPLING; THEOREM PROVING; VARIATIONAL TECHNIQUES; WAVE EQUATIONS;

ELECTROMAGNETIC HERGLOTZ PAIRS; HELMHOLTZ EQUATION; HERGLOTZ WAVE FUNCTIONS; INVERSE SCATTERING; LINEAR SAMPLING METHOD; SOBOLEV SPACES;

BOUNDARY VALUE PROBLEMS;

EID: 0035841370     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.277     Document Type: Article

References (11)

1. Recent developments in inverse acoustic scattering theory
2. The linear sampling method for solving the electromagnetic inverse scattering problem
3. Electromagnetic waves scattering
4. The direct and inverse scattering problems for partially coated obstacles
5. An approximation property of importance in inverse scattering theory
6. Grenz- und Sprungrelationen für Potentiale mit quadrat-summierbarer Dichte
7. An exterior boundary-value problem for the Maxwell equations with boundary data in a Sobolev space