On the Relation of the Operator Partial derivative with respect to s + Partial derivative with respect to tau to Evolution Governed by Accretive Operators.
Abstract
Existence theorems for the equation du/dt + Au = f(t), 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1975
- Accession Number
- ADA011020
Entities
People
- L. C. Evans
- Michael G. Crandall
Organizations
- University of Wisconsin–Madison