Ben-Naoum, Abdou Kouider
[UCL]
Using Mawhin’s coincidence topological degree arguments and fixed point theory for non-expansive mappings results, 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. When the winding number associated to the domain is rational, we improve and extend some results of Lyashenko [8] and Lyashenko–Smiley [9]. The case where the winding number is irrational is also examined.
Bibliographic reference |
Ben-Naoum, Abdou Kouider. On the Dirichlet problem for the nonlinear wave equation in domains with corners points. In: Belgian Mathematical Society - Simon Stevin. Bulletin, Vol. 3, p. 354-361 (1996) |
Permanent URL |
http://hdl.handle.net/2078.1/191535 |