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Existence results for the Helmholtz equation in periodic wave-guides…
https://api.newton.ac.uk/website/v0/events/preprints/NI18014MSC: 35J05, 78A40. Keywords: Helmholtz equation, wave-guide, periodic media,Fredholm alternative. 1 Introduction. ... Our result has therefore verymuch the character of a Fredholm alternative: If solutions are unique, then theyexist for arbitrary f. -
TIME-PERIODIC SOLUTIONS OF ADVECTION-DIFFUSIONEQUATIONS ON MOVING…
https://api.newton.ac.uk/website/v0/events/preprints/NI14053problem. without a lower bound on c. Proposition 3.3 (Fredholm alternative). Suppose that the hypotheses of Propo-sition 3.2 hold, then either the homogeneous problem. ... ut. The Fredholm alternative in Proposition 3.3 then gives the main theorem of -
Stabilized FEM-BEM Coupling for Maxwell Transmission Problems R.…
https://api.newton.ac.uk/website/v0/events/preprints/NI07012Meury 3. Fredholm alternative. To this end, most authors have studied the integral operators intrinsicallyon Γ. ... Fredholm alternative on either smooth or non-smooth domainsand prevents us from establishing existence and uniqueness of solutions and -
FINITE ELEMENT METHODS IN LOCAL ACTIVE CONTROL OF SOUND ...
https://api.newton.ac.uk/website/v0/events/preprints/NI03048Instead, we show belowthat aω satisfies a G̊arding’s inequality. Then, according to Fredholm’s alternative,uniqueness implies existence of solution. ... Because of Lemma 3.2 we knowthat the problem satisfies Fredholm’s alternative (see for -
Desargues.dvi
https://api.newton.ac.uk/website/v0/events/preprints/NI09049In particular, we identify the Fredholm deter-minant of the integral equation inverting the nonlocal ̄-dressing problem with the τ -function. ... Then, by the Fredholm alternative, the homogeneousequation with η = 0 has only the trivial solution. -
WEAK ORIENTABILITY OF MATROIDSAND POLYNOMIAL EQUATIONS J.A. DE LOERA, …
https://api.newton.ac.uk/website/v0/events/preprints/NI13047We require the following lemmawhich is a simple case of the Fredholm Alternative Theorem (see, for example, [22]) and leave thedetails for the reader:. -
STABILITY OF THE PERIODIC TODA LATTICE UNDER SHORT RANGE ...
https://api.newton.ac.uk/website/v0/events/preprints/NI07032STABILITY OF THE PERIODIC TODA LATTICE. UNDER SHORT RANGE PERTURBATIONS. SPYRIDON KAMVISSIS AND GERALD TESCHL. Abstract. We consider the stability of the periodic Toda lat-tice (and slightly more generally of the algebro-geometric finite-gap lattice) -
SPECTRA OF GRAPH NEIGHBORHOODS AND SCATTERING DANIEL GRIESER…
https://api.newton.ac.uk/website/v0/events/preprints/NI09010SPECTRA OF GRAPH NEIGHBORHOODS AND SCATTERING. DANIEL GRIESER. Abstract. Let (Gε)ε>0 be a family of ’ε-thin’ Riemannian manifolds modeledon a finite metric graph G, for example, the ε-neighborhood of an embeddingof G in some Euclidean space
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