LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
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Publication:3043608
DOI10.1142/S0218202504003234zbMath1058.35076MaRDI QIDQ3043608
Tomasz Dlotko, José M. Arrieta, Jan W. Cholewa, Aníbal Rodgriguez-Bernal
Publication date: 6 August 2004
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
perturbation theoryanalytic semigroups\(L^p\)-\(L^q\) estimatesnon-divergence type differential operators
One-parameter semigroups and linear evolution equations (47D06) Initial value problems for second-order parabolic equations (35K15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
- Semigroups of linear operators and applications to partial differential equations
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- Absorption semigroups and Dirichlet boundary conditions
- On the existence of the compact global attractor for semilinear reaction diffusion systems on \(\mathbb{R}^ N\)
- Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
- Global attractors for degenerate parabolic equations on unbounded domains
- Schrödinger semigroups
- Variational problems related to self-similar solutions of the heat equation
- The complex Ginzburg - Landau equation on large and unbounded domains: sharper bounds and attractors
- Higher Dimensional Blow Up for Semilinear Parabolic Equations
- Large time behavior for convection-diffusion equations in irnwith asymptotically constant diffusion
- The attractor for a nonlinear reaction-diffusion system in an unbounded domain
- Attractors for modulation equations on unbounded domains-existence and comparison
- Linear and Semilinear Parabolic Equations on BUC(ℝN)
- Attractors of partial differential evolution equations in an unbounded domain
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