Vol. 120, No. 2, 1985

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Existence of strong solutions to singular nonlinear evolution equations

Michael Aaron Freedman

Vol. 120 (1985), No. 2, 331–344
Abstract

The nonlinear evolution equation u(t) + A(t)u(t) 0 is studied under conditions which permit A(t) to be singular at t = 0. Application is then made to examples of partial differential equations having time dependent coefficients which blow up at the origin.

Mathematical Subject Classification 2000
Primary: 34G20
Secondary: 47H15
Milestones
Received: 12 April 1984
Published: 1 December 1985
Authors
Michael Aaron Freedman