Nonlinear transmission problems

Elias Wegert, Georgi Khimshiashvili, Ilya Spitkovsky

Research output: Contribution to journalArticle

Abstract

An existence theorem for solutions of non-linear transmission problems is proved using certain special estimates of inverses of Toeplitz operators. A framework for construction of analytic discs attached to singular targets is described, and a mechanism of creating such discs is presented.

Original languageEnglish (US)
Pages (from-to)223-230
Number of pages8
JournalMemoirs on Differential Equations and Mathematical Physics
Volume12
StatePublished - Jan 1 1997

Fingerprint

Analytic Discs
Transmission Problem
Toeplitz Operator
Existence Theorem
Nonlinear Problem
Target
Estimate
Framework

Keywords

  • Analytic discs
  • Toeplitz operators
  • Transmission problems

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

Cite this

Nonlinear transmission problems. / Wegert, Elias; Khimshiashvili, Georgi; Spitkovsky, Ilya.

In: Memoirs on Differential Equations and Mathematical Physics, Vol. 12, 01.01.1997, p. 223-230.

Research output: Contribution to journalArticle

Wegert, Elias ; Khimshiashvili, Georgi ; Spitkovsky, Ilya. / Nonlinear transmission problems. In: Memoirs on Differential Equations and Mathematical Physics. 1997 ; Vol. 12. pp. 223-230.
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