On one boundary-value problem for the Laplace equation
- 25 Downloads
We have derived a Fredholm-type equation of the second kind for a directional derivative problem arising in the stationary theory of heat conduction. One result of Ya. B. Lopatinskii has been refined.
KeywordsHarmonic Function Laplace Equation Convex Domain Principal Part Follow Boundary Condition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 1.Ya. B. Lopatinskii, On one boundary problem for harmonic functions, Uch. Zap. L’vovsk. Univ., Ser. Fiz.-Matem. Nauk, 22, Issue 5 (1953).Google Scholar
- 2.Ya. B. Lopatinskii, Introduction to the Modern Theory of Partial-Differential Equations [in Russian], Naukova Dumka, Kiev (1980).Google Scholar
- 3.A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1978).Google Scholar
- 4.V. I. Smirnov, A Course in Higher Mathematics [in Russian], Vol. 4, Nauka, Moscow (1958).Google Scholar
© Springer Science+Business Media, Inc. 2007