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    Random and periodic homogenization for some nonlinear partial differential equations

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    schwabr03050.pdf (442.3Kb)
    Date
    2009-05
    Author
    Schwab, Russell William, 1979-
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    Abstract
    In this dissertation we prove the homogenization for two very different classes of nonlinear partial differential equations and nonlinear elliptic integro-differential equations. The first result covers the homogenization of convex and superlinear Hamilton-Jacobi equations with stationary ergodic dependence in time and space simultaneously. This corresponds to equations of the form: [mathematical equation]. The second class of equations is nonlinear integro-differential equations with periodic coefficients in space. These equations take the form, [mathematical equation].
    Department
    Mathematics
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    URI
    http://hdl.handle.net/2152/18416
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