Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields, including nonlinear and noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. Focused on applications, this book provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations ...
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Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields, including nonlinear and noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. Focused on applications, this book provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations to classical methods. The contributors offer recent research relevant to partial differential equations, mathematical physics, and nonlinear analysis.
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