论文信息 - On a New Class of Nonlinear Wave Equations

On a New Class of Nonlinear Wave Equations

Abstract In this paper we prove the existence and uniqueness of regular solutions for the Cauchy problem for the evolution equation u″ + A 2 u + (α + M(¦A 1 2 u¦ 2 ) Au = 0 , suggested by the study of beams and plates. We represent by A a linear operator of a Hilbert space H with norm ∥, α is a real number, and M ( λ ) > 0 a real function, for λ ⩾ 0.

L. A. Medeiros | L. Medeiros

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