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Preface Partial Differential EquationsOn the Structure of Singularities in Solutions of the Nonlinear Schrödinger Equation for the Critical Case, p = 4/n , J. Angulo, J. L. Bona, F. Linares, M. ScialomThe Schrödinger Equation with Point Interaction in an Algebra of New Generalized Functions, A. AntonevichPolynomial a Priori Estimates for Some Evolution PDE and Generalized Solutions, H. A. Biagioni, T. GramchevShift Differentials of Maps in BV Spaces, A. Bressan, M. LewickaCalculation of the Singularity Dynamics for Quadratic Nonlinear Hyperbolic Equations. Example: The Hopf Equation, V. G. Danilov, G. A. Omel'yanovVanishing Viscosity Boundary Layers for Nonlinear Hyperbolic Systems, O. GuèsOrdinary Differential Equations and Generalized Functions, R. Hermann, M. OberguggenbergerConservation Laws, Delta Shocks and Singular Shocks, B. L. KeyfitzNonlinear Singular Schrödinger Type Equations, H. Lange, m. Poppenberg, H. TeismannNon-Analytic Solutions of Nonlinear Wave Models, Y. A. Li, P. J. Olver, P. RosenauThe Dirichlet Problem and Compact Operators in Colombeau Theory, D. ScarpalezosHighly Oscillatory Shock Waves, Y. WangStructure TheorySharp Topologies on (C, E, P)-Algebras, A. Delcroix, D. Scarpalezos(C, E, P)-Sheaf Structures and Applications, J.-A. MartiLocal and Microlocal Analysis in the Space of Colombeau Generalized Functions, S. PilipovicBasics of a General Spectral Theory of Banach Modules, N. Y. RadynoExtensions of Algebras, Memofunctions and Their Applications, Y. V. RadynoOn the Multiplication of Periodic Hyperfunctions of One Variable, V. ValmorinGeometry, General Relativity Distributional Aspects of General Relativity: The Example of the Energy-Momentum Tensor of the Extended Kerr-Geometry, H. BalasinLie Symmetries of Differential Equations in a Generalized Functions Setting, M. KunzingerArbitrary Global Lie Group Actions on Generalized Solutions of Nonlinea