Some Nonlinear Problems

Houde Han () and Dongsheng Yin ()
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Houde Han: Tsinghua University, Department of Mathematical Sciences
Dongsheng Yin: Tsinghua University, Department of Mathematical Sciences

Chapter Chapter 8 in Mathematical Foundation of the Boundary Integro-Differential Equation Method, 2026, pp 249-284 from Springer

Abstract: 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.

Date: 2026
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DOI: 10.1007/978-981-95-1088-7_8

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