Non-existence results for stochastic wave equations in one dimension

Mohammud Foondun; Eulalia Nualart

doi:10.1016/j.jde.2022.02.038

Non-existence results for stochastic wave equations in one dimension

Mohammud Foondun
, Eulalia Nualart

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

19 Downloads (Pure)

Abstract

The purpose of this paper is extend recent results of Bonder-Groisman and Foondun-Nualart to the stochastic wave equation. In particular, a suitable integrability condition for non-existence of global solutions is derived.

Original language	English
Pages (from-to)	557-578
Number of pages	21
Journal	Journal of Differential Equations
Volume	318
Early online date	1 Mar 2022
DOIs	https://doi.org/10.1016/j.jde.2022.02.038
Publication status	Published - 5 May 2022

Keywords

stochastic wave equations
non-existence results
one dimension

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10.1016/j.jde.2022.02.038Licence: CC BY-NC-ND 4.0

Foondun-Nualart-JDE-2022-Non-existence-results-for-stochasticFinal published version, 271 KBLicence: CC BY-NC-ND 4.0

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title = "Non-existence results for stochastic wave equations in one dimension",

abstract = " The purpose of this paper is extend recent results of Bonder-Groisman and Foondun-Nualart to the stochastic wave equation. In particular, a suitable integrability condition for non-existence of global solutions is derived. ",

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author = "Mohammud Foondun and Eulalia Nualart",

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T1 - Non-existence results for stochastic wave equations in one dimension

AU - Foondun, Mohammud

AU - Nualart, Eulalia

PY - 2022/5/5

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N2 - The purpose of this paper is extend recent results of Bonder-Groisman and Foondun-Nualart to the stochastic wave equation. In particular, a suitable integrability condition for non-existence of global solutions is derived.

AB - The purpose of this paper is extend recent results of Bonder-Groisman and Foondun-Nualart to the stochastic wave equation. In particular, a suitable integrability condition for non-existence of global solutions is derived.

KW - stochastic wave equations

KW - non-existence results

KW - one dimension

UR - https://www.journals.elsevier.com/journal-of-differential-equations

U2 - 10.1016/j.jde.2022.02.038

DO - 10.1016/j.jde.2022.02.038

M3 - Article

SN - 0022-0396

VL - 318

SP - 557

EP - 578

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Non-existence results for stochastic wave equations in one dimension

Abstract

Keywords

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