Is the stochastic parabolicity condition dependent on $p$ and $q$?
نویسندگان
چکیده
منابع مشابه
Is the stochastic parabolicity condition dependent on p and q ? ∗
In this paper we study well-posedness of a second order SPDE with multiplicative noise on the torus T = [0, 2π]. The equation is considered in L((0, T )×Ω;L(T)) for p, q ∈ (1,∞). It is well-known that if the noise is of gradient type, one needs a stochastic parabolicity condition on the coefficients for well-posedness with p = q = 2. In this paper we investigate whether the well-posedness depen...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2012
ISSN: 1083-6489
DOI: 10.1214/ejp.v17-2186