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Mild Solution of Stochastic Equations with Levy Jumps: Existence, Uniqueness, Regularity and Stability 被引量:1

Mild Solution of Stochastic Equations with Levy Jumps: Existence, Uniqueness, Regularity and Stability
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出处 《Journal of Partial Differential Equations》 2013年第3期251-288,共38页 偏微分方程(英文版)
Stochastic evolution equation Levy processes mild solution stability.
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  • 1Da Prato, G., Rockner, M., Rozovskii, B. L., et al.: Strong solutions of stochastic generalized Porus media equations: existence, uniqueness, and ergodicity. Commnications in Partial Differential Equations, 31, 277-291 (2006).
  • 2Aronson, D. C.: The Porous Medium Equation, Lecture Notes Math. Vol. 1224, Springer, Berlin, 1986, 1 46.
  • 3Da Prato, G., Rockner, M.: Weak solutions to stochastic Porus media equations. J. Evolution Equ., 4, 249-271 (2004).
  • 4Da Prato, G., Rockner, M.: Invariant measures for a stochastic porous media equation. In: (H. Kunita, Y. Takanashi, S. Watanabe, Eds.) Stochastic Analysis and Related Topics, Advanced in Pure Math. Vol. 41, Math. Soc. Japan, 2004, 13-29.
  • 5Da Prato, G., Zabczyk, J.: Stochastic Equations in Infinite Dimensions, Cambridge University Press, Cambridge, 1992.
  • 6Ren, J., Rockner, M., Wang, F. Y.: Stochastic generalized porous meadia and fast diffusion equation. J. Diff. Equ., 238, 118-152 (2007).
  • 7Bogachev, V. I., Da Prato, G., Rockner, M.: Invariant measures of stochastic generalized porous medium equations. Dolk. Math., 396, 7-11 (2004).
  • 8Kim, J. U.: On the stochastic porous medium equation. J. Diff. Equ., 206, 163-194 (2006).
  • 9Rockner, M.: Introduction to Stochastic Partial Differential Equation, Purdue University, Fall 2005 and Spring 2006, Version: April 26, 2007.

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