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<p>In this paper, the existence, uniqueness and Strichartz type estimates to solutions of multipoint problem for abstract linear and nonlinear wave equations are obtained. The equation includes a linear operator <i>A</i> defined in a Hilbert space <i>H</i>. We obtain the existence, uniqueness regularity properties, and Strichartz type estimates to solutions of a wide class of wave equations which appear in the fields of elastic rod, hydro-dynamical process, plasma, materials science and physics, by choosing the space <i>H</i> and the operator <i>A</i>.</p>

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Multipoint Problems for Wave Equations and Applications

  • 期刊论文

  • 发表日期：

    2025年10月6日

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  • Veli Shakhmurov,
  • Rishad Shahmurov

摘要

In this paper, the existence, uniqueness and Strichartz type estimates to solutions of multipoint problem for abstract linear and nonlinear wave equations are obtained. The equation includes a linear operator A defined in a Hilbert space H. We obtain the existence, uniqueness regularity properties, and Strichartz type estimates to solutions of a wide class of wave equations which appear in the fields of elastic rod, hydro-dynamical process, plasma, materials science and physics, by choosing the space H and the operator A.