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EQUATIONS WITH DIRICHLET BOUNDARY NOISE

Part of: Stochastic analysis

Published online by Cambridge University Press:  31 October 2012

DALE ROBERTS
DALE ROBERTS*
Affiliation:
Centre for Mathematics and its Applications, Australian National University, Canberra, ACT 0200, Australia (email: [email protected])
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Abstract

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Keywords

stochastic partial differential equationsboundary value problemsweighted Lebesgue spacesgamma-radonifying operators

MSC classification

Secondary: 60H15: Stochastic partial differential equations
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 1 , February 2013 , pp. 174 - 176
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

References

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[2]Da Prato, G. and Zabczyk, J., Stochastic Equations in Infinite Dimensions, Encyclopedia of Mathematics and its Applications, 44 (Cambridge University Press, Cambridge, 1992).CrossRefGoogle Scholar
[3]Da Prato, G. and Zabczyk, J., ‘Evolution equations with white-noise boundary conditions’, Stoch. Stoch. Rep. 42(3–4) (1993), 167–182.CrossRefGoogle Scholar
[4]Maslowski, B., ‘Stability of semilinear equations with boundary and pointwise noise’, Ann. Sc. Norm. Super. Pisa Cl. Sci. (4) 22(1) (1995), 55–93.Google Scholar
[5]Peszat, S. and Zabczyk, J., ‘An evolution equation approach’, in: Stochastic Partial Differential Equations with Lévy Noise, Encyclopedia of Mathematics and its Applications, 113 (Cambridge University Press, Cambridge, 2007).Google Scholar
[6]Roberts, D., ‘Stochastic partial differential equations with noise entering through the boundary’, Preprint, 2012.Google Scholar