The concept of a livable smart city presented in this book highlights the relevance of the functionality and integrated resilience of viable cities of the future. It critically examines the progressive digitalization that is taking place and identifies the revolutionized energy sector as the basis of urban life. The concept is based on people and their natural environment, resulting in a broader definition of sustainability and an expanded product theory. Smart City 2.0 offers its residents many opportunities and is an attractive future market for innovative products and services. However, it presents numerous challenges for stakeholders and product developers.
The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This monograph undertakes a systematic presentation of the theory of general elliptic operators. The author discusses a priori estimates, normal solvability, the Fredholm property, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. Particular attention is paid to elliptic problems in unbounded domains which have not yet been sufficiently treated in the literature and which require some special approaches. The book also contains an analysis of non-Fredholm operators and discrete operators as well as extensive historical and bibliographical comments. The selected topics and the author's level of discourse will make this book a most useful resource for researchers and graduate students working in the broad field of partial differential equations and applications.
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