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A Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem

✍ Scribed by Klaus Höllig and John A. Nohel


Book ID
125692557
Publisher
American Mathematical Society
Year
1984
Tongue
English
Weight
255 KB
Volume
283
Category
Article
ISSN
0002-9947

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📜 SIMILAR VOLUMES


Free-Boundary Problem for a Singular Dif
✍ P.Y.H. Pang; H.Y. Wang; J.X. Yin 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 120 KB

In this paper, we study the free-boundary problem associated with a singular diffusion equation. An entropy equality derived by the authors for BV solutions in an earlier paper is used in its formulation. Existence, uniqueness, and regularity results are obtained.

A NON-SINGULAR BOUNDARY INTEGRAL EQUATIO
✍ B.-U. Koo; B.-C. Lee; J.-G. Ih 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 547 KB

A weakly singular boundary integral equation and a non-singular one are derived for acoustic problems. By using the one-dimensional wave propagation mode, the degree of the singularities appearing in the conventional boundary integral equation can be reduced. Since the strong singularity is removed