J. Colombeau

发表

Multiplication of distributions

J. Colombeau, 1983 .

Generalized solutions to partial differential equations of evolution type

Michael Oberguggenberger, Arnaud Heibig, J. Colombeau, 1996 .

The elastoplastic shock problem as an example of the resolution of ambiguities in the multiplication of distributions

J. Colombeau, 1989 .

Convergence of numerical schemes involving powers of the Dirac delta function

J. Colombeau, A. L. Roux, M. Adamczewski, 1990 .

Nonlinear Generalized Functions: their origin, some developments and recent advances

J. Colombeau, 2014, 1401.4755.

Nonlinear generalized functions and jump conditions for a standard one pressure liquid–gas model

J. Colombeau, J. Aragona, S. Juriaans, 2014 .

A P ] 2 1 M ar 2 01 5 Generalized solutions of the stochastic Burgers equation in multi-dimension

J. Colombeau, P. Catuogno, C. Olivera, 2015 .

OF THE AMERICAN MATHEMATICAL SOCIETY Volume 23 , Number 2 , October 1990 MULTIPLICATION OF DISTRIBUTIONS

J. Colombeau, 2007 .

Multiplication of distributions

J. Colombeau, 1983 .

The Heisenberg-Pauli canonical formalism of quantum field theory in the rigorous setting of nonlinear generalized functions (Part I)

J. Colombeau, A. Gsponer, 2008, 0807.0289.

Elementary introduction to new generalized functions

J. Colombeau, J. F Colombeau, 1985 .

Nonlinear generalized functions and the Heisenberg-Pauli foundations of Quantum Field Theory

J. Colombeau, A. Gsponer, B. Perrot, 2007, 0705.2396.

Generalized Functions and Multiplication of Distributions on C∞ Manifolds

J. Colombeau, A. Meril, 1994 .

New Generalized Functions and Multiplication of Distributions

J. Colombeau, J. F Colombeau, 2012 .

A New Theory of Generalized Functions

J. Colombeau, J. F. Colombeau, 1986 .

Analytic continuation of generalized functions

J. Colombeau, J. Galé, 1988 .

Holomorphic generalized functions

J. Colombeau, J. Galé, 1984 .

Multiplication of Distributions: A Tool in Mathematics, Numerical Engineering and Theoretical Physics

J. Colombeau, Jean François Colombeau, 1993 .

Generalized Functions; Multiplication of Distributions; Applications to Elasticity, Elastoplasticity, Fluid Dynamics and Acoustics

J. Colombeau, 1988 .

Numerical techniques in elastoplasticity

J. Colombeau, J. F Colombeau, A. Y. Le Roux, 1987 .

The fourier-borel transform in infinitely many dimensions and applications

J. Colombeau, B. Perrot, 1981 .

Generalized solutions of nonlinear parabolic equations with distributions as initial conditions

Michel Langlais, J. Colombeau, M. Langlais, 1990 .

The Levi problem in nuclear Silva spaces

J. Colombeau, J. Mujica, 1980 .

Convolution Equations in Infinite Dimenstions: Brief Survey, New Results and Proofs

J. Colombeau, M. Matos, 1982 .

Differential calculus and holomorphy: Real and complex analysis in locally convex spaces

J. Colombeau, 1982 .

Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context

J. Colombeau, J. Aragona, S. Juriaans, 2014, 1403.4955.

Generalized Functions and Infinitesimals

J. Colombeau, J. Colombeau, 2006, math/0610264.

Numerical solutions of one-pressure models in multifluid flows

J. Colombeau, Fabienne Berger, Jean-François Colombeau, 1995 .

Generalized Integral Operators and Applications

J. Colombeau, S. Bernard, A. Delcroix, 2005, Mathematical Proceedings of the Cambridge Philosophical Society.

Microscopic profiles of shock waves and ambiguities in multiplications of distributions

A. Noussair, J. Colombeau, A. Noussair, 1989 .

Multiplications of distributions in elasticity and hydrodynamics

J. Colombeau, J. F. Colombeau, A. Y. Le Roux, 1988 .

Topics on nonlinear generalized functions

J. Colombeau, 2011, 1105.4457.

Generalized solutions to Cauchy problems

J. Colombeau, A. Heibig, 1994 .

Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities

J. Colombeau, P. Catuogno, C. Olivera, 2017, 1801.03527.

Mathematical problems on generalized functions and the canonical Hamiltonian formalism

J. Colombeau, 2007, 0708.3425.

On the ∂-Neumann problem for generalized functions

J. Colombeau, J. Aragona, 1985 .

Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations

J. Colombeau, J. F Colombeau, A. Y. Le Roux, 1989 .

Nonlinear generalized functions and nonlinear numerical simulations in fluid and solid continuum mechanics

J. Colombeau, 2007, math-ph/0702014.

Generalized functions as a tool for nonsmooth nonlinear problems in mathematics and physics

J. Colombeau, 2006, math-ph/0612077.

Some Aspects of Infinite-Dimensional Holomorphy in Mathematical Physics

J. Colombeau, 1986 .

Composition and exponential of compactly supported generalized integral kernel operators

J. Colombeau, S. Bernard, A. Delcroix, 2004, math/0505179.

J ul 2 00 7 Nonlinear generalized functions and the Heisenberg-Pauli foundations of Quantum Field Theory

J. Colombeau, 2008 .

M ay 2 00 7 Nonlinear generalized functions and the Heisenberg-Pauli foundations of Quantum Field Theory

J. Colombeau, 2008 .

Nonconservative products in bounded variation functions

Arnaud Heibig, J. Colombeau, Jean François Colombeau, 1992 .

Existence of holomorphic mappings with prescribed asymptotic expansions at a given set of points in infinite dimensions

Jorge Mujica, J. Colombeau, Jean Francois Colombeau, 1981 .

On some various notions of infinite dimensional holomorphy

J. Colombeau, 1974 .

Infinite dimensional C∞ mappings with a given sequence of derivatives at a given point

J. Colombeau, 1979 .

Holomorphic maps with a given asymptotic expansion at a boundary point

J. Colombeau, 1979 .

Holomorphy in locally convex spaces and operators on the Fock spaces

J. Colombeau, 1980 .

A Result of Existence of Holomorphic Maps Which Admit a Given Asymptotic Expansion

J. Colombeau, 1979 .