On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909583401811968 |
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| author | Palmieri, Alessandro |
| author_facet | Palmieri, Alessandro |
| contents | In this note, we derive a blow-up result for a semilinear generalized Tricomi equation with damping and mass terms having time-dependent coefficients. We consider these coefficients with critical decay rates. Due to this threshold nature of the time-dependent coefficients (both for the damping and for the mass), the multiplicative constants appearing in these lower-order terms strongly influence the value of the critical exponent, determining a competition between a Fujita-type exponent and a Strauss-type exponent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_09879 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity Palmieri, Alessandro Analysis of PDEs In this note, we derive a blow-up result for a semilinear generalized Tricomi equation with damping and mass terms having time-dependent coefficients. We consider these coefficients with critical decay rates. Due to this threshold nature of the time-dependent coefficients (both for the damping and for the mass), the multiplicative constants appearing in these lower-order terms strongly influence the value of the critical exponent, determining a competition between a Fujita-type exponent and a Strauss-type exponent. |
| title | On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2105.09879 |