Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain

Brzezniak Z, Rana N (2022)
Journal of Differential Equations 340: 386-462.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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DOI
Autor*in
Brzezniak, Zdzislaw; Rana, NimitUniBi
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
We prove the existence and the uniqueness of a local maximal solution to an H-1-critical stochastic wave equation with multiplicative noise on a smooth bounded domain D subset of R-2 with exponential nonlinearity. First, we derive the appropriate deterministic and stochastic Strichartz inequalities in suitable spaces and, then use them in arguments based on fixed point method to show the local well-posedness result. We also present an explosion result for the constructed unique local maximal solution. (c) 2022 Elsevier Inc. All rights reserved.
Erscheinungsjahr
2022
Zeitschriftentitel
Journal of Differential Equations
Band
340
Seite(n)
386-462
ISSN
0022-0396
eISSN
1090-2732
Page URI
https://pub.uni-bielefeld.de/record/2966740

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Brzezniak Z, Rana N. Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain. Journal of Differential Equations. 2022;340:386-462.
Brzezniak, Z., & Rana, N. (2022). Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain. Journal of Differential Equations, 340, 386-462. https://doi.org/10.1016/j.jde.2022.08.033
Brzezniak, Zdzislaw, and Rana, Nimit. 2022. “Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain”. Journal of Differential Equations 340: 386-462.
Brzezniak, Z., and Rana, N. (2022). Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain. Journal of Differential Equations 340, 386-462.
Brzezniak, Z., & Rana, N., 2022. Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain. Journal of Differential Equations, 340, p 386-462.
Z. Brzezniak and N. Rana, “Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain”, Journal of Differential Equations, vol. 340, 2022, pp. 386-462.
Brzezniak, Z., Rana, N.: Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain. Journal of Differential Equations. 340, 386-462 (2022).
Brzezniak, Zdzislaw, and Rana, Nimit. “Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain”. Journal of Differential Equations 340 (2022): 386-462.
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