In this paper we study blow-up and lifespan estimate for solutions to the Cauchy problem with small data for semilinear wave equations with scattering damping and negative mass term. We show that the negative mass term will play a dominant role when the decay of its coefficients is not so fast, thus the solutions will blow up in a finite time. What is more, we establish a lifespan estimate from above which is much shorter than the usual one.
Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping / Lai, Ning-An; Schiavone, Nico Michele; Takamura, Hiroyuki. - (2020), pp. 391-405. (Intervento presentato al convegno Mathematical Society of Japan, Seasonal Institute - The Role of Metrics in the Theory of Partial Differential Equations tenutosi a Sapporo; Japan) [10.2969/aspm/08510391].
Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping
Schiavone, Nico Michele;
2020
Abstract
In this paper we study blow-up and lifespan estimate for solutions to the Cauchy problem with small data for semilinear wave equations with scattering damping and negative mass term. We show that the negative mass term will play a dominant role when the decay of its coefficients is not so fast, thus the solutions will blow up in a finite time. What is more, we establish a lifespan estimate from above which is much shorter than the usual one.File | Dimensione | Formato | |
---|---|---|---|
Lai_Short-time_2020.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
156.54 kB
Formato
Adobe PDF
|
156.54 kB | Adobe PDF | Contatta l'autore |
Lai_preprint_Short-time_2020.pdf
accesso aperto
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
168.21 kB
Formato
Adobe PDF
|
168.21 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.