Multipoint Cauchy problem for nonlinear wave equations in vector-valued spaces

2017/09/26 by Veli Shakhmurov, Shakhmurov, Veli
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1709.09547

openalex publication_date 2017/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, regularity properties, Strichartz type estimates to solutions of multipoınt Cauchy problem for linear and nonlinear abstract wave equations in vector-valued function spaces are obtained. The equation includes a linear operator A defined in a Hilbert space H, in which by choosing H and A we can obtain numerous classis of nonlocal initial value problems for wave equations which occur in a wide variety of physical systems.

Related

• Nonlocal Cauchy problems for wave equations and applications
• Existence local and global solution of multipoint Cauchy problem for nonlocal nonlinear equations
• The regularity properties of nonlocal abstract wave equations
• Existence and regularity of solutions in nonlinear wave equations
• Global Low Regularity Solutions of Quasi-linear Wave Equations