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    Abstract functional second-order stochastic evolution equations with applications 

    McKibben, Mark A.; Webster, Micah (2017-01-24)
    We investigate a class of abstract second-order damped functional stochastic evolution equations driven by a fractional Brownian motion in a separable Hilbert space. The global existence of mild solutions is established ...
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    Nonlinear stability analysis of a two-dimensional diffusive free boundary problem 

    Webster, Micah; Guidotti, Patrick (2010-01-25)
    We explore global existence and stability of planar solutions to a multi-dimensional Case II polymer diffusion model which takes the form of a one-phase free boundary problem with phase onset. Due to a particular boundary ...
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    BOUNDARY DYNAMICS OF A TWO-DIMENSIONAL DIFFUSIVE FREE BOUNDARY PROBLEM 

    Webster, Micah; Guidotti, Patrick (2010-02)
    Numerous models of industrial processes such as diffusion in glassypolymers or solidification phenomena, lead to general one-phase free boundary value problems with phase onset. In this paper we develop a framework viable ...
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    ABSTRACT STOCHASTIC INTEGRODIFFERENTIAL DELAY EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTION 

    McKibben, Mark A.; Webster, Micah (2015)
    We investigate a class of abstract delay stochastic integrodifferential delay equations driven by a fractional Brownian motion (fBm) dependent upon a family of probability measures in a ...
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    Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion 

    McKibben, Mark A.; Webster, Micah (2014-02-25)
    We investigate a class of abstract functional stochastic evolution equations driven by a fractional Brownian motion in a real separable Hilbert space. Global existence results concerning mild solutions are formulated under ...


    Goucher College
    1021 Dulaney Valley Road
    Baltimore, MD 21204

    www.goucher.edu

    Contact Information:
    kristen.welzenbach@goucher.edu
    library.goucher.edu/md-soar


    If you wish to submit a copyright complaint or withdrawal request, please email mdsoar-help@umd.edu.

     

     

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    Webster, Micah (5)
    McKibben, Mark A. (3)Guidotti, Patrick (2)SubjectCosine family (1)Fractional Brownian motion (1)Free Boundary Problem (1)Maximal Regularity (1)Non- Regular Pseudodifferential Operators (1)Second-order equation (1)Stochastic evolution equation (1)Well-Posedness (1)... View MoreDate Issued2010 (2)2014 (1)2015 (1)2017 (1)Has File(s)Yes (3)No (2)


    Goucher College
    1021 Dulaney Valley Road
    Baltimore, MD 21204

    www.goucher.edu

    Contact Information:
    kristen.welzenbach@goucher.edu
    library.goucher.edu/md-soar


    If you wish to submit a copyright complaint or withdrawal request, please email mdsoar-help@umd.edu.