Abstract
The exact controllability for a semilinear stochastic wave equation
with a boundary control is established. The target and initial
spaces are
The exact controllability for a semilinear stochastic wave equation
with a boundary control is established. The target and initial
spaces are
A. Bensoussan and R. Temam, “Equations stochastiques du type Navier-Stokes,” Journal of Functional Analysis, vol. 13, no. 2, pp. 195–222, 1973.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetF. E. Browder, “Nonlinear accretive operators in Banach spaces,” Bulletin of the American Mathematical Society, vol. 73, pp. 470–476, 1967.
View at: Google Scholar | Zentralblatt MATH | MathSciNetT. Kato, “Accretive operators and nonlinear evolution equations in Banach spaces,” in Nonlinear Functional Analysis (Proceedings of Symposia in Pure Mathematics, Vol. 18, Part 1, Chicago, Ill, 1968), pp. 138–161, American Mathematical Society, Rhode Island, 1970.
View at: Google Scholar | Zentralblatt MATH | MathSciNetJ.-L. Lions, “Exact controllability, stabilization and perturbations for distributed systems,” SIAM Review, vol. 30, no. 1, pp. 1–68, 1988.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetD. L. Russell, “Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions,” SIAM Review, vol. 20, no. 4, pp. 639–739, 1978.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetB. A. Ton, “Exact controllability for a semilinear wave equation with both interior and boundary controls,” Abstract and Applied Analysis, vol. 2005, no. 6, pp. 619–637, 2005.
View at: Publisher Site | Google Scholar | MathSciNetB. A. Ton, “Exact controllability of a nonlinear stochastic wave equation with measure data,” submitted for publication.
View at: Google ScholarE. Zuazua, “Exact boundary controllability for the semilinear wave equation,” in Nonlinear Partial Differential Equations and Their Applications. Collège de France Seminar, Vol. 10 (Paris, 1987-1988), vol. 220 of Pitman Research Notes in Mathematics Series, pp. 357–391, Longman Scientific & Technical, Harlow, 1991.
View at: Google Scholar | Zentralblatt MATH | MathSciNet