Titlebook: Methods for Partial Differential Equations; Qualitative Properti Marcelo R. Ebert,Michael Reissig Textbook 2018 Springer International Publ

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Wave Equation—Properties of Solutions—Starting Point of Hyperbolic Theoryequations is the free wave equation. First, we introduce d’Alembert’s representation in 1d and derive usual properties of solutions as finite speed of propagation of perturbations, existence of a domain of dependence, existence of forward or backward wave fronts and propagation of singularities. The