Herrero, Miguel A.Oleaga Apadula, Gerardo EnriqueVelázquez, J.J. L.2023-06-202023-06-2020061088-685010.1090/S0002-9947-06-03995-Xhttps://hdl.handle.net/20.500.14352/49705This work deals with the linear wave equation considered in the whole plane R2 except for a rectilinear moving slit, represented by a curve Γ (t) = {(x1, 0) : −∞ < x1 < λ(t)} with t ≥ 0. Along Γ (t) , either homogeneous Dirichlet or Neumann boundary conditions are imposed. We discuss existence and uniqueness for these problems, and derive explicit representation formulae for solutions. These last have a simple geometrical interpretation, and in particular allow to derive precise asymptotic expansions for solutions near the tip of the curve. In the Neumann case, we thus recover a classical result in fracture dynamics, namely the form of the stress intensity factor in crack propagation under antiplane shear conditionsengjournal articlehttp://dialnet.unirioja.es/servlet/revista?codigo=1445open access517.9Stress Intensity FactorsCrack PathsPropagationEvolutionSituationsExpansionFormEcuaciones diferenciales1202.07 Ecuaciones en Diferencias