New notion of nonuniform exponential dichotomy with applications to the theory of pullback and forward attractors
DOI10.1088/1361-6544/ad700azbMath1547.3509MaRDI QIDQ6601332
Alexandre N. Oliveira-Sousa, José Antonio Langa, Rafael Obaya
Publication date: 10 September 2024
Published in: Nonlinearity (Search for Journal in Brave)
nonuniform exponential dichotomiesevolution processespullback and forward attractorscomparison for ODEs and PDEs
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Abstract parabolic equations (35K90) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Attractors of solutions to ordinary differential equations (34D45) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Monotone flows as dynamical systems (37C65)
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