Summary
We consider the mixed problem for a general, time independent, second order hyperbolic equation in the unknown u, with datum g ε L2(Σ) in the Neumann B.C., with datum f ε L2(Q) in the right hand side of the equation and, say, initial conditions u0=u1=0. We obtain sharp regularity results for u in Q and ù|∑ in ε, by a pseudo-differential approach on the half-space.
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Research partially supported by the National Science Foundation under Grants DMS-83-016668 and DMS-87-96320.
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Lasiecka, I., Triggiani, R. Sharp regularity theory for second order hyperbolic equations of Neumann type. Annali di Matematica pura ed applicata 157, 285–367 (1990). https://doi.org/10.1007/BF01765322
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DOI: https://doi.org/10.1007/BF01765322