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.

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Some Nonlinear Problems

  • Houde Han,
  • Dongsheng Yin

摘要

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.