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  • Key words. Stochastic partial differential equations, Super-Brownian motion, Stochastic evolution equations, Convergence of measures. AMS Classification. Primary 60H15, Secondary 60H20, 60B10.  (1)
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    Electronic Resource
    Electronic Resource
    Hilbert-Space-Valued Super-Brownian Motion and Related Evolution Equations (2000)
    Springer
    Applied mathematics & optimization 41 (2000), S. 141-154 
    Details
    ISSN: 1432-0606
    Keywords: Key words. Stochastic partial differential equations, Super-Brownian motion, Stochastic evolution equations, Convergence of measures. AMS Classification. Primary 60H15, Secondary 60H20, 60B10.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. A stochastic partial differential equation in which the square root of the solution appears as the diffusion coefficient is studied as a particular case of stochastic evolution equations. Weak existence of a solution is proved by the Euler approximation scheme. The super-Brownian motion on [0, 1] is also studied as a Hilbert-space-valued equation. In this set up, weak existence, pathwise uniqueness, and positivity of solutions are obtained in any dimension d .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002459911008
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