Generalized functions method in boundary value problems for wave equations /

This monograph presents the method of generalized functions and the method of boundary integral equations for solving nonstationary and stationary boundary value problems for classical hyperbolic equations of mathematical physics and electrodynamics: the wave equation, the Klein-Gordon equation, th...

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Bibliographic Details
Main Authors:	Alexeyeva, Lyudmila (Author), Bayegizova, Aigulim (Author)
Format:	eBook
Language:	English
Published:	Singapore : Springer, [2026]
Series:	Industrial and applied mathematics.
Subjects:	Boundary value problems > Numerical solutions. Theory of distributions (Functional analysis) Problèmes aux limites > Solutions numériques. Théorie des distributions (Analyse fonctionnelle)

Table of Contents:

Basic concepts of generalized functions theory: fundamental solutions and their properties
Integral equations of boundary value problems for SchrodingerGordonFock Equation: scattering amplitude
Nonstationary boundary value problems for dAlembert Wave Equation and their solutions
Boundary integral equations of nonstationary boundary value problems for the KleinGordonFock Equation
Generalized solutions of transport boundary value problems for wave equation
Fundamental and generalized solutions of Maxwell Equations and their properties
Generalized solutions of stationary boundary value problems for Maxwell Equations
Generalized solutions of nonstationary boundary value problems for Maxwell Equations.