129 citations · 501 across the 17 of their papers we have counts for
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Applications of theorems of Jean Leray to the Einstein-scalar field equations
Yvonne Choquet-Bruhat, James Isenberg, Daniel Pollack
The Einstein-scalar field theory can be used to model gravitational physics with scalar field matter sources. We discuss the initial value formulation of this field theory, and sho…
The constraint equations for the Einstein-scalar field system on compact manifolds
Yvonne Choquet-Bruhat, James Isenberg, Daniel Pollack
We study the constraint equations for the Einstein-scalar field system on compact manifolds. Using the conformal method we reformulate these equations as a determined system of non…
Linear stability of homogeneous Ricci solitons
Christine Guenther, James Isenberg, Dan Knopf
As a step toward understanding the analytic behavior of Type-III Ricci flow singularities, i.e. immortal solutions that exhibit |Rm|<C/t curvature decay, we examine the linearizati…