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In this paper we consider a semilinear pseudoparabolic equation with polynomial nonlinearity and infinite delay. We first prove the existence and uniqueness of weak solutions by using the Galerkin method. Then, we prove the existence of a compact global attractor for the continuous semigroup associated to the equation. The existence and exponential stability of weak stationary solutions are also investigated.
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참고문헌 (32)
참고문헌 신청
E. C. Aifantis / 1980 / On the problem of diffusion in solids / Acta Mech 37(3-4):265~296
C. T. Anh / 2010 / Pullback attractors for a class of non-autonomous nonclassical diffusion equations / Nonlinear Anal 73(2):399~412
C. T. Anh / 2012 / Exponential stability of solutions to semilinear parabolic equations with delays / Taiwanese J. Math 16(6):2133~2151
C. T. Anh / 2010 / Global attractors for semilinear parabolic equations with delays / Int. J. Evol. Equ 5(1):1~18
C. T. Anh / 2014 / Global attractors for a class of parabolic equations with infinite delay / Bull. Pol. Acad. Sci. Math 62(1):49~60
C. T. Anh / 2010 / Pullback attractors for a class of non-autonomous nonclassical diffusion equations / Nonlinear Anal 73(2):399~412
C. T. Anh / 2012 / Exponential stability of solutions to semilinear parabolic equations with delays / Taiwanese J. Math 16(6):2133~2151
C. T. Anh / 2010 / Global attractors for semilinear parabolic equations with delays / Int. J. Evol. Equ 5(1):1~18
C. T. Anh / 2014 / Global attractors for a class of parabolic equations with infinite delay / Bull. Pol. Acad. Sci. Math 62(1):49~60
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