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

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math.CA1999

Averages over curves with torsion

Daniel Oberlin, Hart Smith, Christopher D. Sogge

We establish Sobolev mapping properties for averages over certain curves in , which improve upon the estimates obtained by interpolation.

math.CA1999

Concerning Nikodym-type sets in 3-dimensional curved spaces

Christopher D. Sogge

We obtain estimates for maximal functions that arise when one studies Nikodym-type sets. We also formulate a curvature condition that allows favorable estimates for these maximal f…

math.CA1999

Negative results for Nikodym maximal functions and related oscillatory integrals in curved space

William Minicozzi, Christopher D. Sogge

We expand on counterxamples of Bourgain showing how Nikodym maximal estimates and oscillatory integral estimates can break down in the non-Euclidean case. Our examples show the rol…