| Texto completo | |
| Autor(es): |
Aslan, Halit Sevki
;
Chen, Wenhui
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | EVOLUTION EQUATIONS AND CONTROL THEORY; v. N/A, p. 27-pg., 2025-06-25. |
| Resumo | |
. We mainly consider semilinear thermoelastic plate systems with general power nonlinearities in the whole space Rn. By applying the Fourier analysis, some sharp (Lq boolean AND Lm) - Lq estimates of solutions (with any 1 5 m 5 q 5 +infinity) to the classical thermoelastic plate system are derived, which cover all known results in Rn. Then, we investigate global in time existence of small data Lq solutions (with any q is an element of [1, +infinity]) and blow-up of weak solutions for the semilinear thermoelastic plate systems under suitable conditions on the power exponents, which justify critical exponents for several classes of nonlinearities. (AU) | |
| Processo FAPESP: | 21/01743-3 - Comportamento assíntótico para equações de evolução com coeficientes dependentes do tempo |
| Beneficiário: | Halit Sevki Aslan |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |