Geodesic
Existence and uniqueness of classical solutions of the Cauchy problem on nonglobally hyperbolic manifolds
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 441-446 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Cauchy problem for the wave equation on the Misner space, a nonglobally hyperbolic manifold with closed timelike lines. We prove that the existence and uniqueness of a classical solution are equivalent to self-consistency conditions much more rigorous than a finite collection of pointlike conditions occurring in this problem on the Minkowski plane with an attached handle.
Keywords: nonglobally hyperbolic manifold, wave equation, Cauchy problem. 
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     title = {Existence and uniqueness of classical solutions of {the~Cauchy} problem on nonglobally hyperbolic manifolds},
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O. V. Groshev. Existence and uniqueness of classical solutions of the Cauchy problem on nonglobally hyperbolic manifolds. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 441-446. http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a13/

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