An a Priori Estimate for a Scalar Transmission Problem of the Laplacian in R3

Authors

  • Ospino Portillo Jorge Eliecer

scalar transmission problem, laplacian, a priori estimate

Abstract

In this work, we present an a priori estimate for a scalar transmission problem of the Laplacian with parameter in R 3 . The solution at infinity is described in the family of weighted Sobolev spaces.

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How to Cite

An a Priori Estimate for a Scalar Transmission Problem of the Laplacian in R3. (2016). Global Journal of Science Frontier Research, 16(F4), 87-97. https://www.journalofscience.org/index.php/GJSFR/article/view/102937

References

V Peron (2009) Mod´elisation math´ematique de ph´enom`enes ´electromagn´etiques dans des mat´eriaux `a fort contraste.

J Ospino, P (2011) Finite elements/boundary elements for electromagnetic interface problems, especially the skin effect.

G Caloz, M Dauge, V Peron (2010) Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism. 370(2), 555-572.

J Nedelec (2001) Acoustic and electromagnetic equations. Integral representations for harmonic problems.

B Hanouzet (1971) Espaces de Sobolev avec poids. Application au probl`eme de Dirichlet dans un demi-espace. 227-272.

J Giroire (1987) Alignement des références géodésiques et synchronisation des références de temps par rapport aux références internationales.

A Kufner (1985) Jarvis, Dr John Herbert, (born 16 May 1947), Senior Vice President Advisor, John Wiley & Sons Inc., 2007-09 (Senior Vice President, John Wiley and Sons - Europe, 1997-2007).

Tahar Boulmezaoud (2003) On the Laplace operator and on the vector potential problems in the half‐space: an approach using weighted spaces. 26(8), 633-669.

Unknown Title.

An a Priori Estimate for a Scalar Transmission Problem of the Laplacian in R3

Published

2016-07-05

How to Cite

An a Priori Estimate for a Scalar Transmission Problem of the Laplacian in R3. (2016). Global Journal of Science Frontier Research, 16(F4), 87-97. https://www.journalofscience.org/index.php/GJSFR/article/view/102937