Leseprobe
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Well-Posed Nonlinear Problems
Mircea Sofonea
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Springer International Publishing 
Naturwissenschaften, Medizin, Informatik, Technik / Sonstiges
Beschreibung
This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, inequality problems, and optimal control problems. Another unique feature of the manuscript is the unitary treatment of mathematical models of contact, for which new variational formulations and convergence results are presented. Well-Posed Nonlinear Problems will be a valuable resource for PhD students and researchers studying contact problems. It will also be accessible to interested researchers in related fields, such as physics, mechanics, engineering, and operations research.
Kundenbewertungen
Variational inequalities, Contact problems, Optimal control problems, Static contact problems, Well-posed problem, Well-posed nonlinear problems, Fixed-point problems, Nonlinear problems, Well-posedness, Contact mechanics, Convergence results, Tykhonov triple, Hemivariational inequalities, Inequality problems