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The stochastic wave equations driven by fractional and colored noises |
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| Authors: | Dan Tang Yong Jin Wang |
| Institution: | 1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, P. R. China 2. School of Mathematical Sciences and School of Business, Nankai University, Tianjin, 300071, P. R. China |
| Abstract: | We investigate a wave equation in the plane with an additive noise which is fractional in time and has a non-degenerate spatial covariance. The equation is shown to admit a process-valued solution. Also we give a continuity modulus of the solution, and the Hölder continuity is presented. |
| Keywords: | fractional spatial colored noise process-valued solution stochastic wave equations |
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