The transmission problem with boundary conditions given by real measures

Dagmar Medková

Annales Polonici Mathematici (2007)

  • Volume: 92, Issue: 3, page 243-259
  • ISSN: 0066-2216

Abstract

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The unique solvability of the problem Δu = 0 in G⁺ ∪ G¯, u₊ - au_ = f on ∂G⁺, n⁺·∇u₊ - bn⁺·∇u_ = g on ∂G⁺ is proved. Here a, b are positive constants and g is a real measure. The solution is constructed using the boundary integral equation method.

How to cite

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Dagmar Medková. "The transmission problem with boundary conditions given by real measures." Annales Polonici Mathematici 92.3 (2007): 243-259. <http://eudml.org/doc/280370>.

@article{DagmarMedková2007,
abstract = {The unique solvability of the problem Δu = 0 in G⁺ ∪ G¯, u₊ - au\_ = f on ∂G⁺, n⁺·∇u₊ - bn⁺·∇u\_ = g on ∂G⁺ is proved. Here a, b are positive constants and g is a real measure. The solution is constructed using the boundary integral equation method.},
author = {Dagmar Medková},
journal = {Annales Polonici Mathematici},
keywords = {Laplace equation; transmission problem; boundary integral equation method},
language = {eng},
number = {3},
pages = {243-259},
title = {The transmission problem with boundary conditions given by real measures},
url = {http://eudml.org/doc/280370},
volume = {92},
year = {2007},
}

TY - JOUR
AU - Dagmar Medková
TI - The transmission problem with boundary conditions given by real measures
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 3
SP - 243
EP - 259
AB - The unique solvability of the problem Δu = 0 in G⁺ ∪ G¯, u₊ - au_ = f on ∂G⁺, n⁺·∇u₊ - bn⁺·∇u_ = g on ∂G⁺ is proved. Here a, b are positive constants and g is a real measure. The solution is constructed using the boundary integral equation method.
LA - eng
KW - Laplace equation; transmission problem; boundary integral equation method
UR - http://eudml.org/doc/280370
ER -

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