Analytic Continuation With Respect to a Parameter of the Green's Functions of Exterior Boundary Value Problems for the Two-Dimensional Helmholtz Equation. Iii

Muraveĭ, L A

doi:10.1070/sm1978v034n01abeh001044

Search citation statements

Order By: Relevance

Paper Sections

Select...

Pole-pencil Type Decomposition Of I K L (C)1

Chapter1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1980

2017

Publication Types

Select...

Article5

Other1

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 9 publications

(2 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Now, we prove that R1(^) is compact. Thanks to (21), the less regular part of Rl (^) cp(x) is known to behave like This justify the invertibility of G1 + IZ1(^o) by means of a Neumann series. So K1(^) is invertible in o.…”

Section: Pole-pencil Type Decomposition Of I K L (C)mentioning

confidence: 99%

Resonances for Maxwell’s equations in a periodic structure

Ammari

Béreux

Nédélec

2000

Japan J. Indust. Appl. Math.

View full text Add to dashboard Cite

This paper deals with the existence and the distribution of the resonances associated to the Maxwell system in a periodic infinite structure. By boundary integral operators method, we reduce our problem to the existence and distribution of the characteristic values of a family of periodic non-self adjoint integral operators. The distribution of resonances is completely shown and an algorithm to compute them is proposed.

show abstract

Section: Pole-pencil Type Decomposition Of I K L (C)mentioning

confidence: 99%

Resonances for Maxwell’s equations in a periodic structure

Ammari

Béreux

Nédélec

2000

Japan J. Indust. Appl. Math.

View full text Add to dashboard Cite

show abstract

“…In [477], the case of multiconnected boundaries is treated by a different method. Werner's method is based on some suitable Fredholm's integral equations (see also [62,161]; the last paper is the only one in which the Robin boundary condition was considered). Kress (see [37], p. 23) proposed in 1979 a method to study the dependence of the solution to the equation […”

Section: Chaptermentioning

confidence: 99%