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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Translated from Neliniini Kolyvannya, Vol. 21, No. 1, pp. 29–35, January–February, 2018.
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Horodnii, M.F. Existence of Solution of the Dirichlet Problem for the Heat-Conduction Equation with General Stochastic Measure. J Math Sci 240, 249–255 (2019). https://doi.org/10.1007/s10958-019-04351-5
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DOI: https://doi.org/10.1007/s10958-019-04351-5