Article information

1998 , Volume 3, ¹ 3, p.15-18

Grigoryev Y.M., Naumov V.V.

Converse of the theorem of the mean for Helmholtz equation

On the basis of a new proof of the theorem of the mean its converse is proved for the Helmholtz equation.

[full text] Classificator Msc2000:
*35B05 General behavior of solutions of PDE (comparison theorems; oscillation, zeros and growth of solutions; mean value theorems)
35C15 Integral representations of solutions of PDE
35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation
65C05 Monte Carlo methods
Classificator Computer Science:
*G.3 Probability and Statistics
I.6.8 Types of Simulation

Keywords: parabolic integro-differential splines, interpolation, smoothing

Author(s):
Grigoryev Yurii Mikhailovich
Address: 630090, Russia, Novosibirsk
Phone Office: (3832) 333178
E-mail: grigyum@hydro.nsc.ru

Naumov V.V.
Address: Russia, Yakutsk, Novosibirsk


Bibliography link:
Grigoryev Y.M., Naumov V.V. Converse of the theorem of the mean for Helmholtz equation // Computational technologies. 1998. V. 3. ¹ 3. P. 15-18
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