Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity |
| |
| Affiliation: | 1. Departamento de Computação e Matemática, Universidade de São Paulo (USP), FFCLRP, Av. dos Bandeirantes, 3900, CEP 14040-901, Ribeirão Preto(SP), Brazil;2. Faculty for Mathematics and Computer Science Technical University Bergakademie Freiberg Prüferstr. 9, 09596 Freiberg, Germany;1. Faculty of Political Science and Economics, Waseda University, Tokyo, 169-8050, Japan;2. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan;1. Department of Mathematics, University of Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy;2. Faculty of Science and Engineering, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555, Japan;3. Institute of Mathematics and Informatics-BAS Acad., G. Bonchev Str., Block 8, 1113 Sofia, Bulgaria;1. Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russian Federation;2. Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation |
| |
| Abstract: | In the present paper, we investigate the blow-up dynamics for local solutions to the semilinear generalized Tricomi equation with combined nonlinearity. As a result, we enlarge the blow-up region in comparison to the ones for the corresponding semilinear models with either power nonlinearity or nonlinearity of derivative type. Our approach is based on an iteration argument to establish lower bound estimates for the space average of local solutions. Finally, we obtain upper bound estimates for the lifespan of local solutions as byproduct of our iteration argument. |
| |
| Keywords: | Blow-up Generalized Tricomi operator Combined nonlinearity Critical curve |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
