Regularity properties of integral problems for wave equations and applications
Keywords:
Apstract differential equations, Wave equations, Operator theory, Lp-regularity property of solutions, Fourier multipliersAbstract
In this paper, the integral problem for linear and nonlinear wave equations are studied.The equation involves elliptic operator L and abstract operator A in Hilbert space H. Here, assuming enough smoothness on the initial data given in corresponding interpolation spaces and operators the existence, uniqueness, L^{p}-regularity properties to solutions are established. By choosing the space H and operators L, A, the regularity properties to solutions of different classes of wave equations in the field of physics are obtained.
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