Existence of Solution of the Dirichlet Problem for the Heat-Conduction Equation with General Stochastic Measure


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Abstract

We present sufficient conditions for the existence of a weak solution of the Dirichlet problem for the heat-conduction equation with random action described by an integral over the general stochastic measure.

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M. F. Horodnii

Shevchenko Kyiv National University

Email: Jade.Santos@springer.com
Ukraine, Volodymyrs’ka Str., 64, Kyiv, 01033

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