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Some Nonlinear Problems

In: Mathematical Foundation of the Boundary Integro-Differential Equation Method

Author

Listed:
  • Houde Han

    (Tsinghua University, Department of Mathematical Sciences)

  • Dongsheng Yin

    (Tsinghua University, Department of Mathematical Sciences)

Abstract

In this chapter, we discuss the boundary reduction of some nonlinear problems including heat radiation problems, Signoroni problems, contact problems and Steklov eigenvalue problems. A common characteristic of these nonlinear problems we consider is that their solutions satisfy linear partial differential equations with constant coefficients in the open domain. It is natural to reduce these nonlinear problems to nonlinear boundary integro-differential problems by boundary reduction.

Suggested Citation

  • Houde Han & Dongsheng Yin, 2026. "Some Nonlinear Problems," Springer Books, in: Mathematical Foundation of the Boundary Integro-Differential Equation Method, chapter 0, pages 249-284, Springer.
    • Handle: RePEc:spr:sprchp:978-981-95-1088-7_8
    DOI: 10.1007/978-981-95-1088-7_8
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