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Existence of solutions for a nonlocal epitaxial thin film growing equation

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Abstract

The existence of weak solutions is studied to the initial boundary problem of a nonlocal epitaxial thin film growing equation modeling epitaxial thin film growth. We adopt the method of parabolic regularization. After establishing some necessary uniform estimates on the approximate solutions, we prove the existence of weak solutions.

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Authors and Affiliations

  1. Department of Mathematics, Jilin University, Changchun, 130012, China

    Changchun Liu & Zhenbang Li

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  1. Changchun Liu
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  2. Zhenbang Li
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Correspondence to Changchun Liu.

Additional information

This research was partly supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

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Liu, C., Li, Z. Existence of solutions for a nonlocal epitaxial thin film growing equation. Arch. Math. 99, 157–168 (2012). https://doi.org/10.1007/s00013-012-0419-6

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  • DOI: https://doi.org/10.1007/s00013-012-0419-6

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