Titlebook: Well-Posed Nonlinear Problems; A Study of Mathemati Mircea Sofonea Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusi

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Inclusionshonov triples, together with several convergence results, including a convergence criterion. We extend a part of these results to a history-dependent inclusion. The proofs are based on the results obtained in Chap. ., in the study of fixed point problems. Finally, we consider a history-dependent var

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Minimization and Optimal Control Problemsg generalized well-posedness in the sense of Hadamard. Moreover, we show that, under strict and strong convexity assumptions, these results provide the weak and strong well-posedness of the corresponding problems. Next, we extend our study to optimal control problems for which we prove well-posednes

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Quasistatic Contact Problemson that gathers the corresponding equations, boundary, and initial conditions. Then we list the assumptions on the data and derive a variational formulation, which is either in the form of a fixed point problem, a Volterra-type integral equation, a history-dependent inclusion, or a history-dependent

高談闊論

Book 2023cept 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.

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