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Stochastic NonLinear Wave Equations in Local Sobolev Spaces


 
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1. Title Title of document Stochastic NonLinear Wave Equations in Local Sobolev Spaces
 
2. Creator Author's name, affiliation, country Martin Ondrejat; Academy of Sciences of the Czech Republic; Czech Republic
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) stochastic wave equation
 
3. Subject Subject classification 60H15
 
4. Description Abstract Existence of weak solutions of stochastic wave equations with nonlinearities of a critical growth driven by spatially homogeneous Wiener processes is established in local Sobolev spaces and local energy estimates for these solutions are proved. A new method to construct weak solutions is employed.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) GACR grant No. P201/10/0752
 
7. Date (YYYY-MM-DD) 2010-07-06
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/789
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-789
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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