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This Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on
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This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental rela
Introduction to Quantum Graphs
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A ``quantum graph'' is a graph considered as a one-dimensional complex and equipped with a differential operator (``Hamiltonian''). Quantum graphs arise natural
Scientific and Technical Aerospace Reports
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Optimal Transport for Applied Mathematicians
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This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its conne