Gerardo A. Mendoza

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This talk reflects work in progress with T. Krainer directed at studying elliptic boundary value problems in a context well beyond the classical set-up. LetM be a smooth noncompact manifold, or just an open set in some euclidean space. Let μ be a smooth density on M and P an elliptic linear partial differential operator on M with smooth coefficients. The(More)
We analyze the behavior of the trace of the resolvent of an ellip-tic cone differential operator as the spectral parameter tends to infinity. The resolvent splits into two components, one associated with the minimal extension of the operator, and another, of finite rank, depending on the particular choice of domain. We give a full asymptotic expansion of(More)
For patients suffering from cardiogenic shock cardiopulmonary resuscitation may not be sufficient to restore normal heart function. However, their chances of survival may be increased with the use of an extracorporeal support system. With this system the patient's organs are perfused while being transported to the nearest hospital for proper treatment. In(More)
We analyze the behavior of the trace of the resolvent of an ellip-tic cone differential operator as the spectral parameter tends to infinity. The resolvent splits into two components, one associated with the minimal extension of the operator, and another, of finite rank, depending on the particular choice of domain. We give a full asymptotic expansion of(More)