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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Journal of Contemporary Mathematical Analysis
( Vol. 31 NO.3 / (1996))
Asymptotic Solutions of Singular Hyperbolic Equations
G. R. Hovhannisyan,
Pages. 42-61
Abstract The paper establishes local asymptotic representations for solutions of
linear singular hyperbolic equations by means of Fourier integral operators. It
is assumed that the coefficients of the equations are unbounded near a singular
hyperplane $t = 0.$ These representations generalize the well known Levinson's
asymptotic theorem from the theory of ordinary differential equations. They are
useful for the study of some equations of mathematical physics. Another
application is in the study of correctness of Cauchy problem for the partial
differential equations with multiple characteristics.
Contents 1. Introduction
2. The main results
3. Proof of theorem 2.1
4. Proofs of theorem 2.2 and propositions
Key words
Mathmatical Subject Classification