Global attractors for a nonclassical diffusion equation

作者：Sun Chun You^*; Wang Su Yun; Zhong Cheng Kui

来源：Acta Mathematica Sinica-English Series, 2007, 23(7): 1271-1280.

DOI：10.1007/s10114-005-0909-6

• nonclassical diffusion equation
• critical exponent
• polynomial growth of arbitrary order
• global attractor
• asymptotic a priori estimate

We prove the existence of global attractors in H-0(1)(Omega) for a nonclassical diffusion equation. Two types of nonlinearity f are considered: one is the critical exponent, and the other is the polynomial growth of arbitrary order.

• 出版日期2007-7
• 单位兰州城市学院; 兰州大学