Search
Now showing items 1-3 of 3
Teoria de Littlewood-Paley e o problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2010-07-08)
In this work, we study the result of well-posedness for the cubic wave equation
u + u3 = 0 in R3, due to H. Bahouri e J.-Y. Chemin, where the Cauchy data is in
the Homogeneous Sobolev space ̇H3/4(R3) × ̇H−1/4(R3). The ...
Estimativa de energia no infinito para equações hiperbólicas com coeficientes oscilantes
(Universidade Federal de São Carlos, 2012-08-10)
We study the behavior, as t ∞, of the energy for the solutions of the Cauchy problem for some strictly hyperbolic linear second order equations with coeficients very rapidly oscillating.
Equação da onda com dissipação não efetiva dependente do tempo
(Universidade Federal de São Carlos, 2012-04-05)
The objective of this dissertation is to construct structural representations
of the solutions to Cauchy problems for weakly dissipative wave equations below
scaling and to deduce Strichartz type estimate Lp − Lq, q ≥ ...