A nonlinear stochastic equation of convolution type

Maria Fernanda de Almeida Cipriano Salvador Marques; H. Ouerdiane; J. L. Silva; R. Vilela Mendes

doi:https://doi.org/10.1142/9789812770547_0006

A nonlinear stochastic equation of convolution type

Maria Fernanda de Almeida Cipriano Salvador Marques, H. Ouerdiane, J. L. Silva, R. Vilela Mendes

DM - Departamento de Matemática

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A nonlinear equation, similar to the Burgers' equation with the usual product replaced by a convolution product, is studied. The initial condition is a generalized function. By using the Laplace trans- form in a general white noise analysis setting, a general solution is found in (1 +n)-dimensions.

Original language	English
Title of host publication	Mathematical analisys of random phenomena
Subtitle of host publication	Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005
Editors	Ana Bela Cruzeiro, Habib Ouerdiane, Nobuaki Obata
Place of Publication	Singapore
Publisher	World Scientific
Pages	73-84
Number of pages	12
ISBN (Electronic)	978-981-4475-69-3
ISBN (Print)	978-981-270-603-4, 981-270-603-8
DOIs	https://doi.org/10.1142/9789812770547_0006
Publication status	Published - 2007
Event	International Conference Mathematical analisys of random phenomena. - Hammamet, Tunisia Duration: 12 Sept 2005 → 17 Sept 2005

Conference

Conference	International Conference Mathematical analisys of random phenomena.
Country/Territory	Tunisia
City	Hammamet
Period	12/09/05 → 17/09/05

Keywords

Nonlinear Stochastic equation
Convolution calculus
Laplace transform
Generalized functions

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Marques, M. F. D. A. C. S., Ouerdiane, H., Silva, J. L., & Mendes, R. V. (2007). A nonlinear stochastic equation of convolution type. In A. B. Cruzeiro, H. Ouerdiane, & N. Obata (Eds.), Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005 (pp. 73-84). World Scientific. https://doi.org/10.1142/9789812770547_0006

Marques, Maria Fernanda de Almeida Cipriano Salvador ; Ouerdiane, H. ; Silva, J. L. et al. / A nonlinear stochastic equation of convolution type. Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005. editor / Ana Bela Cruzeiro ; Habib Ouerdiane ; Nobuaki Obata. Singapore : World Scientific, 2007. pp. 73-84

@inproceedings{646c5499dfdd4eefbce42c949352e5e3,

title = "A nonlinear stochastic equation of convolution type",

abstract = "A nonlinear equation, similar to the Burgers' equation with the usual product replaced by a convolution product, is studied. The initial condition is a generalized function. By using the Laplace trans- form in a general white noise analysis setting, a general solution is found in (1 +n)-dimensions.",

keywords = "Nonlinear Stochastic equation, Convolution calculus, Laplace transform, Generalized functions",

author = "Marques, {Maria Fernanda de Almeida Cipriano Salvador} and H. Ouerdiane and Silva, {J. L.} and Mendes, {R. Vilela}",

year = "2007",

doi = "https://doi.org/10.1142/9789812770547_0006",

language = "English",

isbn = "978-981-270-603-4",

pages = "73--84",

editor = "Cruzeiro, {Ana Bela} and Habib Ouerdiane and Nobuaki Obata",

booktitle = "Mathematical analisys of random phenomena",

publisher = "World Scientific",

address = "Singapore",

note = "International Conference Mathematical analisys of random phenomena. ; Conference date: 12-09-2005 Through 17-09-2005",

}

Marques, MFDACS, Ouerdiane, H, Silva, JL & Mendes, RV 2007, A nonlinear stochastic equation of convolution type. in AB Cruzeiro, H Ouerdiane & N Obata (eds), Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005. World Scientific, Singapore, pp. 73-84, International Conference Mathematical analisys of random phenomena., Hammamet, Tunisia, 12/09/05. https://doi.org/10.1142/9789812770547_0006

A nonlinear stochastic equation of convolution type. / Marques, Maria Fernanda de Almeida Cipriano Salvador; Ouerdiane, H.; Silva, J. L. et al.
Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005. ed. / Ana Bela Cruzeiro; Habib Ouerdiane; Nobuaki Obata. Singapore: World Scientific, 2007. p. 73-84.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A nonlinear stochastic equation of convolution type

AU - Marques, Maria Fernanda de Almeida Cipriano Salvador

AU - Ouerdiane, H.

AU - Silva, J. L.

AU - Mendes, R. Vilela

PY - 2007

Y1 - 2007

N2 - A nonlinear equation, similar to the Burgers' equation with the usual product replaced by a convolution product, is studied. The initial condition is a generalized function. By using the Laplace trans- form in a general white noise analysis setting, a general solution is found in (1 +n)-dimensions.

AB - A nonlinear equation, similar to the Burgers' equation with the usual product replaced by a convolution product, is studied. The initial condition is a generalized function. By using the Laplace trans- form in a general white noise analysis setting, a general solution is found in (1 +n)-dimensions.

KW - Nonlinear Stochastic equation

KW - Convolution calculus

KW - Laplace transform

KW - Generalized functions

U2 - https://doi.org/10.1142/9789812770547_0006

DO - https://doi.org/10.1142/9789812770547_0006

M3 - Conference contribution

SN - 978-981-270-603-4

SN - 981-270-603-8

SP - 73

EP - 84

BT - Mathematical analisys of random phenomena

A2 - Cruzeiro, Ana Bela

A2 - Ouerdiane, Habib

A2 - Obata, Nobuaki

PB - World Scientific

CY - Singapore

T2 - International Conference Mathematical analisys of random phenomena.

Y2 - 12 September 2005 through 17 September 2005

ER -

Marques MFDACS, Ouerdiane H, Silva JL, Mendes RV. A nonlinear stochastic equation of convolution type. In Cruzeiro AB, Ouerdiane H, Obata N, editors, Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005. Singapore: World Scientific. 2007. p. 73-84 doi: https://doi.org/10.1142/9789812770547_0006

A nonlinear stochastic equation of convolution type

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Keywords

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