Uniqueness for a Nonlinear Abstract Cauchy Problem

Authors

Alan V. Lair, Air Force Institute of TechnologyFollow

Document Type

Article

Publication Date

7-1-1990

Abstract

Let H be a complex Hilbert space, and let A be a linear, unbounded operator defined on a domain D in H. We show that the Cauchy problem for differential equations and inequalities involving the operator dⁿu∕dtⁿ − Au as the principal part have at most one solution. No symmetry conditions are placed on the operator A.
Abstract © MSP.

Comments

© Copyright 1990 Pacific Journal of Mathematics. All rights reserved.

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Reviewed at MR1056668

DOI

10.2140/pjm.1990.144.105

Source Publication

Pacific Journal of Mathematics

Recommended Citation

Lair, A. V. (1990). Uniqueness for a nonlinear abstract Cauchy problem. Pacific Journal of Mathematics, 144(1), 105–129. https://doi.org/10.2140/pjm.1990.144.105