Exact Treatment of Nonlinear Diffusion Equations with Singular Integral Terms
Journal of the Physical Society of Japan, 1985It is shown that a class of nonlinear diffusion equations with singular integral terms are exactly linearized. The detailed account of the method of linearization is given in relation to the examples which appear in various fields of natural science.
Junkichi Satsuma, Masayasu Mimura
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Nonlinear Singular Integral Equations Involving the Hilbert Transform in Clifford Analysis
Zeitschrift für Analysis und ihre Anwendungen, 1999We apply operator-theoretical methods for monotone and maximal monotone operators to prove the existence of solutions for nonlinear singular integral and integro-differential equations involving the Hilbert transform in the Clifford algebra C \mathcal l_{n, 0}
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Solution of a nonlinear singular integral equation with quadratic nonlinearity
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