Sharp regularity theory for second order hyperbolic equations of Neumann type - Part I. -L2 nonhomogeneous data
Abstract
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. © 1990 Fondazione Annali di Matematica Pura ed Applicata.
Publication Title
Annali di Matematica Pura ed Applicata
Recommended Citation
Lasiecka, I., & Triggiani, R. (1990). Sharp regularity theory for second order hyperbolic equations of Neumann type - Part I. -L2 nonhomogeneous data. Annali di Matematica Pura ed Applicata, 157 (1), 285-367. https://doi.org/10.1007/BF01765322
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