Existence and upper semicontinuity of uniform attractors in $H¹(ℝ^N)$ for nonautonomous nonclassical diffusion equations

• Autorzy: Cung The Anh , Nguyen Duong Toan
• Języki publikacji: EN

Abstrakty

EN

We prove the existence of uniform attractors $𝓐_{ε}$ in the space $H¹(ℝ^N)$ for the nonautonomous nonclassical diffusion equation
$u_t - ε Δu_t - Δu + f(x,u) + λu = g(x,t)$, ε ∈ [0,1].
The upper semicontinuity of the uniform attractors ${𝓐_{ε}}_{ε∈[0,1]}$ at ε = 0 is also studied.

Kategorie tematyczne

• 35K70: Ultraparabolic equations, pseudoparabolic equations, etc.
• 35D30: Weak solutions
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 111
• Numer: 3
• Strony: 271-295

Daty

wydano

2014

Twórcy

autor

Cung The Anh

• Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

autor

Nguyen Duong Toan

• Department of Mathematics, Haiphong University, 171 Phan Dang Luu, Kien An, Haiphong, Vietnam

Identyfikatory

DOI

10.4064/ap111-3-5