Self-similar singular solution of doubly singular parabolic equation with gradient absorption term.
Shi, Peihu, Wang, Mingxin (2006)
Journal of Inequalities and Applications [electronic only]
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Shi, Peihu, Wang, Mingxin (2006)
Journal of Inequalities and Applications [electronic only]
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Kusano, Takaŝi, Naito, Manabu (2000)
Journal of Inequalities and Applications [electronic only]
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Betteoui Benyounes, Abdelilah Gmira (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Masatomo Takahashi (2007)
Colloquium Mathematicae
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A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular...
Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Qi, Yuanwei, Wang, Mingxin (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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J.D. Keckic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Perera, Kanishka, Zhang, Zhitao (2005)
Boundary Value Problems [electronic only]
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Jesús M. F. Castillo, Marilda Simoes, Jesús Suárez de la Fuente (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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We exhibit new examples of weakly compact strictly singular operators with dual not strictly cosingular and characterize the weakly compact strictly singular surjections with strictly cosingular adjoint as those having strictly singular bitranspose. We then obtain new examples of super-strictly singular quotient maps and show that the strictly singular quotient maps in Kalton-Peck sequences are not super-strictly singular.