Publications [#347995] of Jian-Guo Liu

Papers Published
  1. Liu, JG; Strain, RM, Global stability for solutions to the exponential PDE describing epitaxial growth, Interfaces and Free Boundaries, vol. 21 no. 1 (January, 2019), pp. 61-86 [doi] .

    Abstract:
    In this paper we prove the global existence, uniqueness, optimal large time decay rates, and uniform gain of analyticity for the exponential PDE ht D eh in the whole space Rd x . We assume the initial data is of medium size in the Wiener algebra A.Rd /; we use the initial condition h0 2 A.Rd / which is scale-invariant with respect to the invariant scaling of the exponential PDE. This exponential PDE was derived in [18] and more recently in [22].

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