4. Probabilistic interpretation of second-order PDEs
Here, we express solutions of elliptic and parabolic second-order PDEs with various types of edge conditions, as expectations of functionals of properly chosen Markov processes. We refer to for further details and references.
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Probabilistic interpretation of second-order PDEs
References
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(1) - BILLINGSLEY (P.) - Convergence of probability measures. - Wiley, New York (1968).
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(2) - BLUMENTHAL (R.M.), GETOUR (R.K.) - Markov processes and potential theory. - Academic Press (1968).
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(3) - BOULEAU (N.) - Processus stochastiques et applications. - Hermann...
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