Continuation with Respect to a Parameter and a Radiation Problem of Carleman

Eberhard Zeidler
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Eberhard Zeidler: Max-Planck-Institut für Mathematik in den Naturwissenschaften

Chapter Chapter 69 in Nonlinear Functional Analysis and its Applications, 1988, pp 422-430 from Springer

Abstract: Abstract In Chapter 6 we studied the important method of continuation with respect to a parameter. In the present chapter we discuss a nontrivial physical application. We want to show how, by using existence theorems for linear problems and a priori estimates, one can find existence results for nonlinear problems. The proof technique used here may also be applied to many other problems.

Keywords: Maximum Principle; Classical Solution; Heat Conduction Problem; Radiation Problem; Simple Layer (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4612-4566-7_13

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