Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains

  title={Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains},
  author={Dimitra Antonopoulou and Georgia D. Karali},
We consider a generalized Stochastic Cahn-Hilliard equation with multiplicative white noise posed on bounded convex domains in Rd, d = 1, 2, 3, with piece-wise smooth boundary, and introduce an additive time dependent white noise term in the chemical potential. Since the Green’s function of the problem is induced by a convolution semigroup, we present the equation in a weak stochastic integral formulation and prove existence of solution when d ≤ 2 for general domains, and for d = 3 for domains… CONTINUE READING

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Publications referenced by this paper.

Cahn-Hilliard stochastic equation: existence of the solution and of its density

  • C. Cardon-Weber
  • Bernoulli, 7(5)
  • 2001
Highly Influential
11 Excerpts

Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance

  • M. E. Gurtin
  • Physica D 92
  • 1996
Highly Influential
3 Excerpts

An introduction to stochastic partial differential equations

  • J. B. Walsh
  • pp. 265–439, Lecture Notes in Math., 1180…
  • 1986
Highly Influential
7 Excerpts

Theory of dynamic critical phenomena

  • P. C. Hohenberg, B. I. Halperin
  • Rev. mod. Phys. 49
  • 1977
Highly Influential
5 Excerpts

Brownian motion in spinodal decomposition

  • H. Cook
  • Acta Metallurgica, 18
  • 1970
Highly Influential
6 Excerpts

Investigation of the Green Matrix for homogeneous parabolic boundary value problem

  • S. D. Eidelman, N. V. Ivasisen
  • Trans. Moscow. Math. Soc., 23
  • 1970
Highly Influential
3 Excerpts

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