Boundary Value Problems for Partial Differential Equations by N. E. Tovmasyan, L. Z. Gevorkyan, G. V. Zakaryan

By N. E. Tovmasyan, L. Z. Gevorkyan, G. V. Zakaryan

This article is dedicated to boundary price difficulties for normal partial differential equations. It develops effective equipment of solution of boundary price difficulties for elliptic equations, in keeping with the idea of analytic capabilities, having nice theoretical and functional significance. a brand new method of the research of electromagnetic fields is sketched, allowing legislation of propagation of electromagnetic power at an outstanding distance to be defined and asymptotic formulae for suggestions of Maxwell's equation to be got. those equations also are utilized to the effective solution of difficulties.

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Extra resources for Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics

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1 is proved. 14)): | o(t)f(t)dt, j j = l m;. 18) r The functionals I Holder's class. We as f u n c t i o n a l s over are shall linearly prove t h a t the class independent as functionals they are also l i n e a r l y of analytic boundary v a l u e s b e l o n g i n g t o t h e Holder over independent vector-functions i n D* with class. IB) i n t o | 0 " G ' V f - (2-19) 0 ( 2 . 21) o k k u ( t ) ,. . , u ( t ) also h C u ( t ) , H=m' . the are the solutions solution of this of equation equation.

N ) can be e x p r e s s e d a s : ] ) (o~) L=L( j = l , .

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