Existence of Solution of the Dirichlet Problem for the Heat-Conduction Equation with General Stochastic Measure
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DOI: 10.1007/s10958-019-04351-5
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. read more here.
Keywords: problem heat; dirichlet problem; solution dirichlet; heat conduction ... See more keywords
A remark on the probabilistic solution of the Dirichlet problem for simply connected domains in the plane
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.04.045
Abstract: Abstract A new proof is given of a simple probabilistic lemma which implies the solution of the Dirichlet problem for simply connected domains in the plane. This proof uses the conformal invariance of planar Brownian… read more here.
Keywords: dirichlet problem; domains plane; solution dirichlet; connected domains ... See more keywords