Summary
Local a.e. solutions to a free boundary (Stefan) problem for a quasilinear hyperbolic system of functional PDE's of first order in two independent variables and diagonal form are investigated. The formulation includes retarded arguments and hereditary Volterra terms.
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Bassanini, P., Turo, J. Generalized solutions to free boundary problems for hyperbolic systems of functional partial differential equations. Annali di Matematica pura ed applicata 156, 211–230 (1990). https://doi.org/10.1007/BF01766980
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DOI: https://doi.org/10.1007/BF01766980