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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 ...
Atratores pullback para uma equação de difusão não autônoma com retardo
(Universidade Federal de São Carlos, 2020-03-12)
Our goal in this work is to study a nonautonomous parabolic differential equation. We are going to show some results about existence of pullback attractors for this type of problem and for the equation without the delay.