Nonlinear Theory of Generalized Functions Chapman & Hall/CRC Research Notes in Mathematics Series
Coordonnateur : Oberguggenberger Michael
Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schr dinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis.
The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books 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 with classical methods.
Date de parution : 12-2020
15.6x23.4 cm
Thème de Nonlinear Theory of Generalized Functions :
Mots-clés :
Nonlinear Schrodinger Equation; Colombeau’s Algebras; Colombeau Generalized Functions; Colombeau’s Theory; Stochastic Differential Equations; Ordinary Differential Equation; Banach Spaces; Ultrarelativistic Limit; Energy Momentum Tensor; Tempered Generalized Functions; Semilinear Heat Equation; Dense; Banach Algebra; Cauchy Problem; Smooth Diffeomorphisms; Iterated Integrals; Nonlinear PDEs; Quotient Algebra; Hugoniot Rankine Condition; Schwarzschild Black Hole; Unbounded Operators; Schwartz Distributions; Hyperbolic Conservation Laws; Geodesic Equations; Nonlinear Conservation Law