The Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials

Wiesław Cupała

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1995)

  • Volume: 15, Issue: 2, page 201-211
  • ISSN: 1509-9407

Abstract

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The probabilistic approach to the Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials is examined

How to cite

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Wiesław Cupała. "The Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 15.2 (1995): 201-211. <http://eudml.org/doc/275928>.

@article{WiesławCupała1995,
abstract = {The probabilistic approach to the Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials is examined},
author = {Wiesław Cupała},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {the Dirichlet boundary value problem; probabilistic approach},
language = {eng},
number = {2},
pages = {201-211},
title = {The Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials},
url = {http://eudml.org/doc/275928},
volume = {15},
year = {1995},
}

TY - JOUR
AU - Wiesław Cupała
TI - The Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1995
VL - 15
IS - 2
SP - 201
EP - 211
AB - The probabilistic approach to the Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials is examined
LA - eng
KW - the Dirichlet boundary value problem; probabilistic approach
UR - http://eudml.org/doc/275928
ER -

References

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  1. [1] K.L. Chung, Lectures from Markov Process to Brownian Motion, Springer-Verlag 1982. Zbl0503.60073
  2. [2] K.L. Chung and K.M. Rao, Feynman-Kac functional and the Schrödinger equation, Seminar in Stochastic Process 1 (1981), 1-29. Zbl0492.60073
  3. [3] K.L. Chung and R.J. Williams, Introduction to Stochastic Integration, Birkhäuser, 1983. 
  4. [4] L. Hörmander, The analysis of Linear Partial Differential Operators, 3 (1985) Springer-Verlag. Zbl0601.35001
  5. [5] S. Kakutani, Two-dimensional Brownian motion and harmonic functions, Proc. Imp. Acad. Tokyo 22 (1944), 706-714. Zbl0063.03107

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