On the Relation of the Operator Partial derivative with respect to s + Partial derivative with respect to tau to Evolution Governed by Accretive Operators.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Existence theorems for the equation dudt Au ft, where A is an accretive operator in a general Banach space X, are typically proved by showing that limits of solutions of discrete approximations to the equation exist. Here the estimates required to show this convergence are exhibited as special cases of estimates relating solutions of difference schemes for partial derivative with respect to s partial derivative with respect to tau to exact solutions.
- Theoretical Mathematics