Details van artikel 129 van 135 gevonden artikelen
The Xsθ spaces and unique continuation for solutions to the semilinear wave equation
Titel:
The Xsθ spaces and unique continuation for solutions to the semilinear wave equation
Auteur:
Tataru, Daniel
Verschenen in:
Communications in partial differential equations
Paginering:
Jaargang 21 (1996) nr. 5-6 pagina's 841-887
Jaar:
1996
Inhoud:
The aim of this paper is twofold. First, we initiate a detailed study of the so-called Xsθ spaces attached to a partial differential operator. This include localization, duality, microlocal representation, subelliptic estimates, solvability and Lp(Lq) estimates. Secondly, we obtain some theorems on the unique continuation of solutions to semilinear second order hyperbolic equations across strongly pseudo-convex surfaces. These results are proved using some new Lp → Lq Carleman estimates, derived using the Xsθ spaces. Our theorems cover the subcritical case; in the critical case, the problem remains open. Similar results hold for higher order partial differential operators, provided that characteristic set satisfies a curvature conditions.
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
Details van artikel 129 van 135 gevonden artikelen
Tijdschrift beschrijving