Generalized solutions to Cauchy problems
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Publication:1321525
DOI10.1007/BF01299310zbMath0831.35002MaRDI QIDQ1321525
Arnaud Heibig, J. François Colombeau
Publication date: 22 February 1996
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/178635
Operations with distributions and generalized functions (46F10) Initial value problems for nonlinear higher-order PDEs (35G25)
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Cites Work
- Unnamed Item
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- Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case
- Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
- Generalized solutions to partial differential equations of evolution type
- A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities
- On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing
- Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations
- The zero dispersion limit, a deterministic analogue of turbulence
- Generalized and classical solutions of nonlinear parabolic equations