Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations

Bjoern Bringmann

doi:10.1080/03605302.2020.1803356

Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations

Bjoern Bringmann

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

7 Scopus citations

Abstract

We consider the radial focusing energy critical nonlinear wave equation in three spatial dimensions. We establish the stability of the ODE-blowup under random perturbations below the energy space. The argument relies on probabilistic Strichartz estimates in similarity coordinates.

Original language	English (US)
Pages (from-to)	1755-1777
Number of pages	23
Journal	Communications in Partial Differential Equations
Volume	45
Issue number	12
DOIs	https://doi.org/10.1080/03605302.2020.1803356
State	Published - Aug 10 2020
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

35L05
35L15
35L71
Blow-up
energy critical
nonlinear wave equations
random initial data

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10.1080/03605302.2020.1803356

Cite this

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title = "Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations",

abstract = "We consider the radial focusing energy critical nonlinear wave equation in three spatial dimensions. We establish the stability of the ODE-blowup under random perturbations below the energy space. The argument relies on probabilistic Strichartz estimates in similarity coordinates.",

keywords = "35L05, 35L15, 35L71, Blow-up, energy critical, nonlinear wave equations, random initial data",

author = "Bjoern Bringmann",

note = "Publisher Copyright: {\textcopyright} 2020 Taylor \& Francis Group, LLC.",

year = "2020",

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doi = "10.1080/03605302.2020.1803356",

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AU - Bringmann, Bjoern

PY - 2020/8/10

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AB - We consider the radial focusing energy critical nonlinear wave equation in three spatial dimensions. We establish the stability of the ODE-blowup under random perturbations below the energy space. The argument relies on probabilistic Strichartz estimates in similarity coordinates.

KW - 35L05

KW - 35L15

KW - 35L71

KW - Blow-up

KW - energy critical

KW - nonlinear wave equations

KW - random initial data

UR - https://www.scopus.com/pages/publications/85089441748

UR - https://www.scopus.com/inward/citedby.url?scp=85089441748&partnerID=8YFLogxK

U2 - 10.1080/03605302.2020.1803356

DO - 10.1080/03605302.2020.1803356

M3 - Article

AN - SCOPUS:85089441748

SN - 0360-5302

VL - 45

SP - 1755

EP - 1777

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 12

ER -

Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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