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    A representation of local time for Lipschitz surfaces 

    Banuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof (Springer-Verlag GmbH, 1990)
    Suppose that D [is an element of the set of Real numbers to the power of n], n [is greater than or equal to] 2, is a Lipschitz domain and let N[subscript]t(r) be the number of excursions of Brownian motion inside D with diameter greater than r which started before time t. Then rN[subscript]t(r) converges as r --> 0 to a ...
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    Hölder domains and the boundary Harnack principle 

    Banuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof (Duke University Press, 1991-10)
    A version of the boundary Harnack principle is proven.
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    On the "hot spots" conjecture of J. Rauch 

    Burdzy, Krzysztof; Banuelos, Rodrigo (Academic Press (Elsevier), 1999-05-10)
    We will state several rigorous versions of J. Rauch's "hot spots" conjecture, review some known results, and prove the conjecture under some additional assumptions. Let us, however, first observe that the conclusion cannot hold for all initial conditions.

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    Author
    Banuelos, Rodrigo (3)
    Burdzy, Krzysztof (3)
    Bass, Richard F. (2)SubjectHölder domains (2)boundary Harnack principle (1)Brownian motion (1)heat equation (1)hot spots (1)Lipschitz surfaces (1)Local time (1)Neumann boundary conditions (1)... View MoreDate Issued1999 (1)1991 (1)1990 (1)

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