---
_id: '1591586'
abstract:
- lang: eng
text: This note deals with existence and uniqueness of (variational) solutions to
the following type of stochastic partial differential equations on a Hilbert space
H dX(t) = A(t, X(t))dt + B(t, X(t))dW(t) + h(t)dG(t), where A and B are random
nonlinear operators satisfying monotonicity conditions and G is an infinite dimensional
Gaussian process adapted to the same filtration as the cylindrical Wiener process
W(t), t >= 0.
article_type: original
author:
- first_name: Michael
full_name: Röckner, Michael
id: '10585'
last_name: Röckner
- first_name: Yi
full_name: Wang, Yi
last_name: Wang
citation:
ama: Röckner M, Wang Y. A Note on variational solutions to SPDE perturbed by Gaussian
noise in a general class. *Infinite Dimensional Analysis, Quantum Probability
and Related Topics*. 2009;12(2):353-358.
angewandte-chemie: M. Röckner, and Y. Wang, “A Note on variational solutions to
SPDE perturbed by Gaussian noise in a general class”, *Infinite Dimensional
Analysis, Quantum Probability and Related Topics*, **2009**,
*12*, 353-358.
apa: Röckner, M., & Wang, Y. (2009). A Note on variational solutions to SPDE
perturbed by Gaussian noise in a general class. *Infinite Dimensional Analysis,
Quantum Probability and Related Topics*, *12*(2), 353-358. doi:10.1142/S0219025709003690
apa_indent: Röckner,
M., & Wang, Y. (2009). A Note on variational solutions to SPDE perturbed by
Gaussian noise in a general class. *Infinite Dimensional Analysis, Quantum
Probability and Related Topics*, *12*(2), 353-358. doi:10.1142/S0219025709003690

bio1: 'Röckner M, Wang Y (2009)

A Note on variational solutions to SPDE perturbed
by Gaussian noise in a general class.

Infinite Dimensional Analysis, Quantum
Probability and Related Topics 12(2): 353-358.'
chicago: 'Röckner,
Michael, and Wang, Yi. 2009. “A Note on variational solutions to SPDE perturbed
by Gaussian noise in a general class”. *Infinite Dimensional Analysis, Quantum
Probability and Related Topics* 12 (2): 353-358.

'
default: 'Röckner M, Wang Y (2009)

*Infinite Dimensional Analysis, Quantum
Probability and Related Topics* 12(2): 353-358.'
dgps: Röckner,
M. & Wang, Y. (2009). A Note on variational solutions to SPDE perturbed by
Gaussian noise in a general class. *Infinite Dimensional Analysis, Quantum
Probability and Related Topics*, *12*(2), 353-358. World Scientific.
doi:10.1142/S0219025709003690.

frontiers: Röckner, M., and Wang, Y. (2009). A Note on variational solutions to
SPDE perturbed by Gaussian noise in a general class. *Infinite Dimensional
Analysis, Quantum Probability and Related Topics* 12, 353-358.
harvard1: Röckner, M., & Wang, Y., 2009. A Note on variational solutions to
SPDE perturbed by Gaussian noise in a general class. *Infinite Dimensional
Analysis, Quantum Probability and Related Topics*, 12(2), p 353-358.
ieee: ' M. Röckner and Y. Wang, “A Note on variational solutions to SPDE perturbed
by Gaussian noise in a general class”, *Infinite Dimensional Analysis, Quantum
Probability and Related Topics*, vol. 12, 2009, pp. 353-358.'
lncs: ' Röckner, M., Wang, Y.: A Note on variational solutions to SPDE perturbed
by Gaussian noise in a general class. Infinite Dimensional Analysis, Quantum Probability
and Related Topics. 12, 353-358 (2009).'
mla: 'Röckner, Michael, and Wang, Yi. “A Note on variational solutions to SPDE perturbed
by Gaussian noise in a general class”. *Infinite Dimensional Analysis, Quantum
Probability and Related Topics* 12.2 (2009): 353-358.'
wels: 'Röckner, M.; Wang, Y. (2009): A Note on variational solutions to SPDE perturbed
by Gaussian noise in a general class *Infinite Dimensional Analysis, Quantum
Probability and Related Topics*,12:(2): 353-358.'
date_created: 2010-04-26T09:45:54Z
date_updated: 2019-07-19T13:08:48Z
department:
- _id: '10020'
doi: 10.1142/S0219025709003690
external_id:
isi:
- '000268123100011'
intvolume: ' 12'
isi: 1
issue: '2'
keyword:
- fractional Brownian motion
- stochastic porous media
- Stochastic partial differential equations
- equations
- general Gaussian noise
language:
- iso: eng
page: 353-358
publication: Infinite Dimensional Analysis, Quantum Probability and Related Topics
publication_identifier:
issn:
- 0219-0257
publication_status: published
publisher: World Scientific
quality_controlled: '1'
status: public
title: A Note on variational solutions to SPDE perturbed by Gaussian noise in a general
class
type: journal_article
user_id: '89573'
volume: 12
year: '2009'
...