A nonlinear singular integro-differential equation arising in surface chemistry. (English) Zbl 0605.45009

An approximate model is considered for the development by the mechanism of volume diffusion of a grain boundary groove on an interface separating a solid phase and a saturated fluid. The model has a form of a nonlinear singular integro-differential equation. The existence and uniqueness of solution to the model is shown using Schauder’s fixed point theorem. It is also shown that the solution is even.
Reviewer: I.Foltyńska


45K05 Integro-partial differential equations
80A17 Thermodynamics of continua
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