Some results for pathwise uniqueness in Hilbert spaces

Giuseppe Da Prato; Franco Flandoli

doi:10.3934/cpaa.2014.13.1789

Article Contents

2014, Volume 13, Issue 5: 1789-1797. Doi: 10.3934/cpaa.2014.13.1789

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Some results for pathwise uniqueness in Hilbert spaces

Giuseppe Da Prato^1, and
Franco Flandoli^2,

1.
Scuola Normale Superiore, Piazza dei Cavalieri 6, 56126 Pisa
2.
Dipartimento di Matematica Applicata, "U.Dini" Università di Pisa, V.le B. Pisano 26/b, 56126 Pisa

Received: September 2013

Revised: March 2014

Published: September 2015

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Abstract

An abstract evolution equation in Hilbert spaces with Hölder continuous drift is considered. By proceeding as in [3], we transform the equation in another equation with Lipschitz continuous coefficients.Then we prove existence and uniqueness of this equation by a fixed point argument.

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Mathematics Subject Classification: 35R60, 60H15.

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References

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