# Dirichlet problem for parabolic equations on Hilbert spaces

Studia Mathematica (2000)

- Volume: 141, Issue: 2, page 109-142
- ISSN: 0039-3223

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topTalarczyk, Anna. "Dirichlet problem for parabolic equations on Hilbert spaces." Studia Mathematica 141.2 (2000): 109-142. <http://eudml.org/doc/216776>.

@article{Talarczyk2000,

abstract = {We study a linear second order parabolic equation in an open subset of a separable Hilbert space, with the Dirichlet boundary condition. We prove that a probabilistic formula, analogous to one obtained in the finite-dimensional case, gives a solution to this equation. We also give a uniqueness result.},

author = {Talarczyk, Anna},

journal = {Studia Mathematica},

keywords = {existence and uniqueness; probabilistic formula},

language = {eng},

number = {2},

pages = {109-142},

title = {Dirichlet problem for parabolic equations on Hilbert spaces},

url = {http://eudml.org/doc/216776},

volume = {141},

year = {2000},

}

TY - JOUR

AU - Talarczyk, Anna

TI - Dirichlet problem for parabolic equations on Hilbert spaces

JO - Studia Mathematica

PY - 2000

VL - 141

IS - 2

SP - 109

EP - 142

AB - We study a linear second order parabolic equation in an open subset of a separable Hilbert space, with the Dirichlet boundary condition. We prove that a probabilistic formula, analogous to one obtained in the finite-dimensional case, gives a solution to this equation. We also give a uniqueness result.

LA - eng

KW - existence and uniqueness; probabilistic formula

UR - http://eudml.org/doc/216776

ER -

## References

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