Classical solutions for a class of nonlinear wave equations
Keyword(s):
We study a class of initial value problems subject to nonlinear partial differential equations of hyperbolic type. A new topological approach is applied to prove the existence of nontrivial nonnegative solutions. More precisely, we propose a new integral representation of the solutions for the considered initial value problems and using this integral representation we establish existence of classical solutions for the considered classes of nonlinear wave equations.
1988 ◽
Vol 13
(4)
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pp. 383-422
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1995 ◽
Vol 44
(4)
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pp. 0-0
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Keyword(s):
1990 ◽
Vol 146
(1)
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pp. 217-240
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Keyword(s):
1978 ◽
Vol 30
(3)
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pp. 375-394
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Keyword(s):
1989 ◽
pp. 198-202
1979 ◽
Vol 86
(1)
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pp. 145-159
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