Generalized vector equilibrium-like problems without pseudomonotonicity in Banach spaces.
Ceng, Lu-Chuan, Guu, Sy-Ming, Yao, Jen-Chih (2007)
Journal of Inequalities and Applications [electronic only]
Philippe Bénilan, Samir Ismail (1985)
Annales de la Faculté des sciences de Toulouse : Mathématiques
J. W. Neuberger (1990)
Semigroup forum
Reich, Simeon, Shoikhet, David (1996)
Abstract and Applied Analysis
Reich, Simeon, Zaslavski, Alexander J. (2004)
Fixed Point Theory and Applications [electronic only]
Le Van Hot (1982)
Commentationes Mathematicae Universitatis Carolinae
Tomás Domínguez Benavides (2002)
Extracta Mathematicae
Helga Fetter, Berta Gamboa De Buen (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
H. P. Mc Kean, J. C. Scovel (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Chen, Yong-Zhuo (2002)
International Journal of Mathematics and Mathematical Sciences
Jianghua, Fan, Xiaoguo, Wang (2007)
Abstract and Applied Analysis
J. Dyson, R. Villella-Bressan, G. F. Webb (2008)
Mathematical Modelling of Natural Phenomena
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in n-dimensional space. We prove the existence of solutions, which exist globally, and are L∞-bounded on finite time intervals. The hypotheses require nonlocal conditions on the species-induced production of the chemoattractant.
Jan Prüss, Philippe Clément (1992)
Mathematische Zeitschrift
Pierre Germain (2011)
Annales de l’institut Fourier
Consider, in dimension 3, a system of coupled Klein-Gordon equations with different speeds, and an arbitrary quadratic nonlinearity. We show, for data which are small, smooth, and localized, that a global solution exists, and that it scatters. The proof relies on the space-time resonance approach; it turns out that the resonant structure of this equation has features which were not studied before, but which are generic in some sense.
V. Barbu, G. Da Prato (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Hetzer, Georg (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Harmut Pecher (1990)
Manuscripta mathematica
Zhang, Fei-Yu, Li, Wan-Tong (2005)
Discrete Dynamics in Nature and Society
Josef Kolomý (1968)
Commentationes Mathematicae Universitatis Carolinae
Vittorino Pata (2009)
Open Mathematics
A classical result on the existence of global attractors for gradient systems is extended to the case of a semigroup S(t) lacking strong continuity, but satisfying the weaker property of being a closed map for every fixed t ≥ 0.