Geodesic
Solving a hyperbolic equation in the first canonical form
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1.

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Using regularization techniques, we give a meaning to a nonlinear second order partial differential Cauchy problem by replacing it by a two parameter family of Lipschitz regular problems in an appropriate algebra of generalized functions. We prove existence of a solution and we precise how it depends on the choices made. We study the relationship with the classical solution.
Publié le :
DOI : 10.30755/NSJOM.10867
Classification : 35D05, 35L05, 35L70, 46F30
Keywords: algebras of generalized functions, Cauchy problems, hyperbolic equations, nonlinear partial differential equations, regularization of problems 
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     author = {Victor D\'evou\'e},
     title = {Solving a hyperbolic equation in the first canonical form},
     journal = {Novi Sad Journal of Mathematics},
     pages = {133 - 161},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2021},
     doi = {10.30755/NSJOM.10867},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10867/}
}
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Victor Dévoué. Solving a hyperbolic equation in the first canonical form. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1. doi : 10.30755/NSJOM.10867. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10867/

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