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Inhomogeneous Helmholtz equations in wave guides – existence and uniqueness results with energy meth...

Inhomogeneous Helmholtz equations in wave guides – existence and uniqueness results with energy meth...

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2813778087

Inhomogeneous Helmholtz equations in wave guides – existence and uniqueness results with energy methods

About this item

Full title

Inhomogeneous Helmholtz equations in wave guides – existence and uniqueness results with energy methods

Author / Creator

Publisher

Cambridge: Cambridge University Press

Journal title

European journal of applied mathematics, 2023-04, Vol.34 (2), p.211-237

Language

English

Formats

Publication information

Publisher

Cambridge: Cambridge University Press

More information

Scope and Contents

Contents

The Helmholtz equation
$-\nabla\cdot (a\nabla u) - \omega^2 u = f$
is considered in an unbounded wave guide
$\Omega := \mathbb{R} \times S \subset \mathbb{R}^d$
,
$S\subset \mathbb{R}^{d-1}$
a bounded domain. The coefficient
a
is strictly elliptic and either periodic in the unbounded direction
$x_1 \in \mathbb{R}$
or p...

Alternative Titles

Full title

Inhomogeneous Helmholtz equations in wave guides – existence and uniqueness results with energy methods

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2813778087

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2813778087

Other Identifiers

ISSN

0956-7925

E-ISSN

1469-4425

DOI

10.1017/S0956792522000080

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