On the local solvability of a system of nonlinear integro-differential equations (Q2732546)
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scientific article; zbMATH DE number 1623837
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the local solvability of a system of nonlinear integro-differential equations |
scientific article; zbMATH DE number 1623837 |
Statements
11 December 2001
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flow of planar convex curves
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maximum principle
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Leray-Schauder fixed point theorem
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On the local solvability of a system of nonlinear integro-differential equations (English)
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The local solvability of a system of nonlinear partial integro-differential equations of parabolic type is shown in this paper by using the maximum principle and the Leray-Schauder fixed point theorem. The problem is derived from a new flow of planar convex curves considered in the author's Ph.D. thesis ``On a curve evolution problem'' approved in May, 1999.
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