Cauchy-Kovalevskaya Theorem
المؤلف:
Courant, R. and Hilbert, D
المصدر:
Methods of Mathematical Physics, Vol. 1. New York: Wiley, 1989.
الجزء والصفحة:
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13-7-2018
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Cauchy-Kovalevskaya Theorem
This theorem states that, for a partial differential equation involving a time derivative of order 
, the solution is uniquely determined if time derivatives up to order 
of the dependent variable are specified at a single surface, provided the surface is a free surface i.e., not a characteristic surface. (In wave problems, a characteristic surface is the same as a wavefront. In problems of dimension greater than three, replace "surface" with "hypersurface.")
REFERENCES:
Courant, R. and Hilbert, D. Methods of Mathematical Physics, Vol. 1. New York: Wiley, 1989.
Courant, R. and Hilbert, D. Methods of Mathematical Physics, Vol. 2. New York: Wiley, 1989.
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