C. Sogge

activity

19992004

most citedGlobal existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions

2 citations · 3 across the 4 of their papers we have counts for

collaborators

Showing 2002Show all

2 papers · 1 filter

math.AP2002

Eigenfunction and Bochner Riesz estimates on manifolds with boundary

Christopher D. Sogge

The purpose of this paper is to give a simple proof of sharp $L^{\infty}$ estimates for the eigenfunctions of the Dirichlet Laplacian on smooth compact Riemannian manifolds $(M, g)$ o…

math.AP2002

Global existence for nonlinear wave equations with multiple speeds

Christopher D. Sogge

We shall be concerned with the Cauchy problem for quasilinear systems in three space dimensions of the form \label{i.1} \partial^2_tu^I-c^2_IΔu^I = C^{IJK}_{abc}\partial_c u^J\part…