### 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 language | English (US) |
---|---|

Pages (from-to) | 223-230 |

Number of pages | 8 |

Journal | Memoirs on Differential Equations and Mathematical Physics |

Volume | 12 |

State | Published - Jan 1 1997 |

### Fingerprint

### Keywords

- Analytic discs
- Toeplitz operators
- Transmission problems

### ASJC Scopus subject areas

- Analysis
- Mathematical Physics
- Applied Mathematics

### Cite this

*Memoirs on Differential Equations and Mathematical Physics*,

*12*, 223-230.

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

Research output: Contribution to journal › Article

*Memoirs on Differential Equations and Mathematical Physics*, vol. 12, pp. 223-230.

}

TY - JOUR

T1 - Nonlinear transmission problems

AU - Wegert, Elias

AU - Khimshiashvili, Georgi

AU - Spitkovsky, Ilya

PY - 1997/1/1

Y1 - 1997/1/1

N2 - 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.

AB - 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.

KW - Analytic discs

KW - Toeplitz operators

KW - Transmission problems

UR - http://www.scopus.com/inward/record.url?scp=4644277104&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4644277104&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:4644277104

VL - 12

SP - 223

EP - 230

JO - Memoirs on Differential Equations and Mathematical Physics

JF - Memoirs on Differential Equations and Mathematical Physics

SN - 1512-0015

ER -