Annali di Matematica Pura ed Applicata

, Volume 157, Issue 1, pp 285–367 | Cite as

Sharp regularity theory for second order hyperbolic equations of Neumann type

Part I. —L2 nonhomogeneous data
  • I. Lasiecka
  • R. Triggiani
Article

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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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1990

Authors and Affiliations

  • I. Lasiecka
    • 1
  • R. Triggiani
    • 1
  1. 1.Department of Applied Mathematics, Thornton HallUniversity of VirginiaCharlottesvilleUSA

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