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Sharp lifespan estimates for subcritical generalized semilinear Tricomi equations.
- Source :
-
Mathematical Methods in the Applied Sciences . Sep2021, Vol. 44 Issue 13, p10239-10251. 13p. - Publication Year :
- 2021
-
Abstract
- In this paper, we investigate the Cauchy problem of the subcritical semilinear generalized Tricomi equations with dimension n ≥ 3. Under the assumption that the initial data are smooth and compactly supported, the Cauchy problem is shown to be locally well‐posed and the lower bound estimate of the lifespan is established. We also obtain the upper bound of the lifespan with the same scale; hence, the sharp lifespan is determined. The proof is based on the improved versions of the weighted Strichartz estimates. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STATISTICAL smoothing
*EQUATIONS
*CAUCHY problem
*SEMILINEAR elliptic equations
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 44
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 151353077
- Full Text :
- https://doi.org/10.1002/mma.7402