OPAC (Online Public Access Catalog)
Collection Search
start it by typing one or more keywords for title, author or subject
On Some Properties of a Class of Fractional Stochastic Heat Equations
LIU, Wei - Personal Name
TIAN, Kuanhou - Personal Name
FOONDUN, Mohammud - Personal Name
We consider nonlinear parabolic stochastic equations of the form ∂ t u = Lu + λσ (u)ξ̇ on the ball B(0, R), where ξ̇ denotes some Gaussian noise and σ is Lipschitz continuous. Here L corresponds to a symmetric α-stable process killed upon exiting B(0, R). We will consider two types of noises: space-time white noise and spatially correlated noise. Under a linear growth condition on σ , we study growth properties of the second moment of the solutions. Our results are significant extensions of those in Foondun and Joseph (Stoch Process Appl, 2014) and complement those of Khoshnevisan and Kim (Proc AMS, 2013, Ann Probab, 2014).
Availability
| EB00000003727K | Available |
Detail Information
Series Title
-
Call Number
-
Publisher
: ,
Collation
-
Language
ISBN/ISSN
-
Classification
NONE
Detail Information
Content Type
E-Jurnal
Media Type
-
Carrier Type
-
Edition
-
Subject(s)
heat kernel
Stochastic partial differential equations ·
Fractional Laplacian ·
Stochastic heat equation ·
Specific Detail Info
-
Statement of Responsibility
Wei Liu, Kuanhou Tian, Mohammud Foondun
No other version available
File Attachment
