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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Superprocesses on ultradistributions

Participants in the publication
R. Vilela Mendes (Author)
CMAFcIO
Summary
Stochastic solutions provide new rigorous results for nonlinear PDE’s\nand, through its local nongrid nature, are a natural tool for parallel\ncomputation. There are two different approaches for the construction\nof stochastic solutions: McKean’s and superprocesses. In favour of\nsuperprocesses is the fact that they handle arbitrary boundary\nconditions. However, when restricted to measures, superprocesses\ncan only be used to generate solutions for a limited class of nonlinear\nPDE’s. A new class of superprocesses, namely superprocesses on\nultradistributions, is proposed to extend the stochastic solution\napproach to a wider class of PDE’s.

Date of Publication
2016-12-25

Where published
Stochastics

Publication Identifiers
ISSN - 1744-2508,1744-2516

Publisher
Informa UK Limited

Volume
89
Number
6-7

Number of pages
13
Starting page
896
Last page
909

Document Identifiers
DOI - https://doi.org/10.1080/17442508.2016.1269768
URL - http://dx.doi.org/10.1080/17442508.2016.1269768


Export

APA
R. Vilela Mendes, (2016). Superprocesses on ultradistributions. Stochastics, 89, 896-909. ISSN 1744-2508,1744-2516. eISSN . http://dx.doi.org/10.1080/17442508.2016.1269768

IEEE
R. Vilela Mendes, "Superprocesses on ultradistributions" in Stochastics, vol. 89, pp. 896-909, 2016. 10.1080/17442508.2016.1269768

BIBTEX
@article{46391, author = {R. Vilela Mendes}, title = {Superprocesses on ultradistributions}, journal = {Stochastics}, year = 2016, pages = {896-909}, volume = 89 }