The Existence of Global Solutions of the Nonlinear Hyperbolic Partial Differential Equations

Citation Author(s):
Mykola
Yaremenko
KPI
Submitted by:
Mykola Yaremenko
Last updated:
Mon, 09/07/2020 - 11:06
DOI:
10.21227/adtf-1742
License:
Creative Commons Attribution
144 Views
Categories:
Other
Keywords:
hyperbolic equations, singular coefficients, energy estimate, semigroup
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Abstract 

In the present paper, we establish the existence of the solution of the hyperbolic partial differential equation

 with a nonlinear operator that satisfies the general initial conditions 

 

 where

 are given functions under the assumptions of form-bounded conditions on its coefficients.   

Instructions: 

hyperbolic equations, singular coefficients, energy estimate, semigroup

 

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