Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth

  • Friedman A
  • Reitich F
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Abstract

In this paper we develop a general technique for establishing analyticityof solutions of partial differential equations which depend on aparameter . The technique is worked out primarily for a free boundaryproblem describing a model of a stationary tumor.

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Friedman, A., & Reitich, F. (2000). Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth. Transactions of the American Mathematical Society, 353(4), 1587–1634. https://doi.org/10.1090/s0002-9947-00-02715-x

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