Geodesic
Study of nonlinear stochastic Cauchy problems in $(\mathcal{C},\mathcal{E},\mathcal{P})$-algebras
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2.

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We use the framework of the $(\mathcal{C},\mathcal{E},\mathcal{P})$-algebras of J-A. Marti to study some nonlinear stochastic Cauchy problems for a simple equation, namely the transport equation in basic form, with stochastic generalized processes. Until now such studies were made in Colombeau-type algebras.
Publié le :
DOI : 10.30755/NSJOM.11632
Classification : 35L70, 35R60, 45G10, 46F30, 46T30
Keywords: Generalized functions, non-linear problems, generalized stochastic processes, transport equation, white noise 
@article{10.30755/NSJOM.11632,
     author = {Victor D\'evou\'e},
     title = {Study of nonlinear stochastic {Cauchy} problems in $(\mathcal{C},\mathcal{E},\mathcal{P})$-algebras},
     journal = {Novi Sad Journal of Mathematics},
     pages = {127 - 140},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2021},
     doi = {10.30755/NSJOM.11632},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11632/}
}
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Victor Dévoué. Study of nonlinear stochastic Cauchy problems in $(\mathcal{C},\mathcal{E},\mathcal{P})$-algebras. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2. doi : 10.30755/NSJOM.11632. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11632/

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