The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems | Zendy

Roland Duduchava | Zendy; Wolfgang L. Wendland | Zendy

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The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems

Author(s) -

Roland Duduchava,

Wolfgang L. Wendland

Publication year - 1995

Publication title -

integral equations and operator theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.121

H-Index - 48

eISSN - 1420-8989

pISSN - 0378-620X

DOI - 10.1007/bf01198487

Subject(s) - mathematics , isotropy , mathematical analysis , constant (computer programming) , anisotropy , scalar (mathematics) , smoothness , differential equation , constant coefficients , a priori and a posteriori , boundary (topology) , boundary value problem , integral equation , geometry , physics , philosophy , epistemology , quantum mechanics , computer science , programming language

summary:An equilibrium problem for a solid with a crack is considered. We assume that both the Coulomb friction law and a nonpenetration condition hold at the crack faces. The problem is formulated as a quasi-variational inequality. Existence of a solution is proved, and a complete system of boundary conditions fulfilled at the crack surface is obtained in suitable spaces

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