2018
Том 70
№ 9

All Issues

Behavior of the Double-Layer Potential for a Parabolic Equation on a Manifold

Bernatskaya J. N.

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Abstract

We prove that, similarly to the double-layer potential in \(\mathbb{R}^n \) , the double-layer potential constructed in a Riemann manifold of nonpositive sectional curvature has a jump in passing through the surface where its density is defined.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 5, pp 712-728.

Citation Example: Bernatskaya J. N. Behavior of the Double-Layer Potential for a Parabolic Equation on a Manifold // Ukr. Mat. Zh. - 2003. - 55, № 5. - pp. 590-603.

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