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Conditions for one-valued solvability of nonlinear stationary heat-conduction problems

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Abstract

We establish conditions for existence and uniqueness of nonnegative solutions of nonlinear stationary heat-conduction problems, the Dirichlet, problem and the Neumann one, with regard for the dependence of the heat-conduction coefficient and inner heat sources on temperature.

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Authors
  1. Yu. V. Zhernovyi
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Additional information

Lvov University, Lvov. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51., No. 4, pp. 562–567, April, 1999.

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Zhernovyi, Y.V. Conditions for one-valued solvability of nonlinear stationary heat-conduction problems. Ukr Math J 51, 630–635 (1999). https://doi.org/10.1007/BF02591765

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  • DOI: https://doi.org/10.1007/BF02591765

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