On Finite Fractal Dimension of the Global Attractor for the Wave Equation with Nonlinear Damping
By Dalibor Prazák. 2002
48 citations recorded by the source corpus.
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f1788e191bb0c72a27acfb343ae25ce0a98e5302
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In Applied Mathematics
- Igor D. Chueshov
- Alain Miranville
- Sergey Zelik
- Irena Lasiecka
- A. Kh. Khanmamedov
- Ciprian G. Gal
- Maurizio Grasselli
- Hao Wu
In Control and Systems Engineering
- Igor D. Chueshov
- Alain Miranville
- Irena Lasiecka
- Sergey Zelik
- A. Kh. Khanmamedov
- Chunyou Sun
- Bixiang Wang
- Zhijian Yang
In Mathematical Physics
- Igor D. Chueshov
- Irena Lasiecka
- A. Kh. Khanmamedov
- Alain Miranville
- Sergey Zelik
- Bixiang Wang
- Zhijian Yang
- Lorena Bociu
Citations in the corpus
- Global attractors for wave equations with nonlinear interior damping and critical exponents (2006, background): “3) is shown in [17] in the subcritical case.”
- Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, methodology): “Another powerful and useful method to prove the finite dimensionality of the global attractor is based on the so-called l-trajectories: one needs minimal regularity on the solutions in order to apply this method, see [32,53,54,152–154,173,190], and [192].”
- Long-time Behavior of Second Order Evolution Equations With Nonlinear Damping (2008, methodology): “1 [89] on dimension we need only apply Theorem 2.”