On the solvability of the Dirichlet problem for the nonlinear wave equation in bounded domains with corner points
In: NoDEA : Nonlinear Differential Equations and Applications, Vol. 5, p. 407-426 (1998)
Online
Elektronische Ressource
Using fixed point theory for non-expansive mappings results and Mawhin's coincidence topological degree arguments, we discuss the solvability of the Dirichlet problem for the semilinear equation of the vibrating string uxx - uyy + f (x,y,u) = 0 in bounded domain with corner points. Here we simplify and complete the work initiated in [1] and we give some results related to the rotation number associated to the domain. Our results extend and improve those of Lyashenko [9], [10] and Lyashenko-Smiley [11].
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On the solvability of the Dirichlet problem for the nonlinear wave equation in bounded domains with corner points
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Quelle: | NoDEA : Nonlinear Differential Equations and Applications, Vol. 5, p. 407-426 (1998) |
Veröffentlichung: | 1998 |
Medientyp: | Elektronische Ressource |
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