The Solution of the Third Problem for the Laplace Equation on Planar Domains with Smooth Boundary and Inside Cracks and Modified Jump Conditions on Cracks

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F06%3A00120476" target="_blank" >RIV/68407700:21220/06:00120476 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The Solution of the Third Problem for the Laplace Equation on Planar Domains with Smooth Boundary and Inside Cracks and Modified Jump Conditions on Cracks

Original language description

The paper studies the third problem for the Laplace equation on a bounded planar domain with inside cracks. The third condition is given on the boundary of the domain. Two boundary conditions are given on the cuts. One of them specifies the jump of the unknown function. Another one of the type of the third condition contains the jump of the normal derivative of an unknown function and the one-side limit of this function on the cuts. The solution is looked for in the form of the sum of a modified single-layer potential and a double-layer potential. The solution of the corresponding integral equation is constructed.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2006

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Mathematics and Mathematical Sciences

ISSN

0161-1712

e-ISSN

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Volume of the periodical

29

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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