Pointwise bounds for solutions of the Cauchy problem for elliptic equations

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U. S. Naval Ordnance Laboratory, 1962 - Mathematics - 72 pages
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An analysis is presented which deals with a technique for approximating the solution to a Cauchy problem for a geneal second-order elliptic patil differential equation defined in an N-dimensional region D. The method is based upon the determination of an a priori bound for the value of an arbitrary function u at a point P in D in terms of the values of u and its gradient on the cauchy surface andA FUNCTIONAL OF THE ELLIPTIC OPERATOR APPLIED TO U. (Author).

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