Seminar talk, 13 April 2016

From Geometry of Differential Equations
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Speaker: Dmitry Tunitsky

Title: On global solvability of one-dimensional nonlinear wave equations

Abstract:
The talk discusses global solvability of the Cauchy problem for one-dimensional nonlinear wave equations. We prove that this problem has a unique maximal solution in the class of multivalued solutions. This solution has the property of completeness, similar to the corresponding property of solutions of the Cauchy problem for ordinary differential equations.