Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs.

DOI10.1016/S0022-0396(03)00094-9zbMath1044.47035MaRDI QIDQ1412358

Patrick J. Rabier

Publication date: 10 November 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Fredholm operatorsexponential-type functions w.r.t. a semigroupsemigroups and behaviour of solutions of partial differential equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05)

Related Items

Stable foliations near a traveling front for reaction diffusion systems ⋮ Fredholm theory connected with a Douglis-Nirenberg system of differential equations over an exterior region in Rn ⋮ Fredholm and regularity theory of Douglis-Nirenberg elliptic systems on \({\mathbb{R}}^{N}\) ⋮ On the index and spectrum of differential operators on ℝ^{ℕ} ⋮ Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces ⋮ Riccati inequality and functional properties of differential operators on the half line ⋮ Exponential decay and Fredholm properties in second-order quasilinear elliptic systems ⋮ Elliptic problems for a Douglis–Nirenberg system over ℝⁿ and over an exterior subregion

Cites Work

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• The Robbin--Salamon index theorem in Banach spaces with UMD
• Regularized distance and its applications
• Semigroups of linear operators and applications to partial differential equations
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Computation of the index of linear elliptic operators in unbounded cylinders
• An isomorphism theorem for linear evolution problems on the line
• Global bifurcation of homoclinic solutions of Hamiltonian systems
• Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities
• Martingale Transforms
• Unconditional bases and martingales in L_P(F)
• Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on $\mathbb {R}^{N}$
• The Spectral Flow and the Maslov Index
• A Multivariate Faa di Bruno Formula with Applications
• Fredholm properties of Schrödinger operators in \(L^P(\mathbb{R}^N)\)