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Luz de Teresa (1998)
Revista Matemática Complutense
The exact internal controllability of the radial solutions of a semilinear heat equation in R3 is proved. The result applies for nonlinearities that are of an order smaller than |s| logp |s| at infinity for 1 ≤ p < 2. The method of the proof combines HUM and a fixed point technique.
Laanaia, N. (2000)
Portugaliae Mathematica
Marcelo Moreira Cavalcanti (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Liu, Wei-Jiu (2000)
Portugaliae Mathematica
Mama Abdelli, Abderrahmane Beniani, Nadia Mezouar, Ahmed Chahtou (2023)
Mathematica Bohemica
We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with Faedo-Galarkin method. We also established the asymptotic behavior of global solutions as by applying the Lyapunov method.
Marshall Slemrod (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Ma, Qiaozhen, Wang, Binli (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Beilin, Sergei A. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Hernán R. Henríquez, Eduardo Hernández M. (2006)
Annales Polonici Mathematici
We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.
Kazuhiro Yamamoto (1989)
Mathematica Scandinavica
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