Unconditional well-posedness for the energy-critical nonlinear damped wave equation

Autor:	Takahisa Inui, Yuta Wakasugi
Rok vydání:	2021
Předmět:	Nonlinear system Mathematics (miscellaneous) Mathematics::Analysis of PDEs Applied mathematics Perturbation (astronomy) Damped wave Uniqueness Wave equation Stability (probability) Well posedness Energy (signal processing) Mathematics
Zdroj:	Journal of Evolution Equations. 21:5171-5201
ISSN:	1424-3202 1424-3199
DOI:	10.1007/s00028-021-00744-9
Popis:	For the energy-critical nonlinear damped wave equation, we show the unconditional well-posedness. The unconditional well-posedness means local well-posedness and the unconditional uniqueness. First, we give the local well-posedness and stability, whose statement will be useful to investigate the global dynamics. At second, we show the unconditional uniqueness. Since these problems seem not to be solvable as a direct perturbation of the wave equation, we apply the Strichartz estimates for the damped wave equation including the wave endpoint case.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::da520e4a73eb1d770ce7bcb9736b0af6 https://doi.org/10.1007/s00028-021-00744-9 Zobrazit plný text záznamu Full text from SpringerLink