A third-order 3-point BVP. Applying krasnosel'skii's theorem on the plane without a Green's function.
A third-order -point boundary-value problem of Dirichlet type involving a -Laplacian type operator.
A Thom isomorphism for infinite rank Euclidean bundles.
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset of the solution set of the singularly perturbed system. This subset is the set of...
A topological characterization of the product of two closed operators
The purpose of this work is to give a topological condition for the usual product of two closed operators acting in a Hilbert space to be closed.
A topological structure of solution sets to evolution systems
A topological version of the Ambrosetti-Prodi theorem
The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
A toroidal compactification of the Fermi surface for the discrete Schrödinger operator.
A trace formula for resonances and application to semi-classical Schrödinger operators
On décrit une formule de trace [S] pour les résonances, qui est valable en toute dimension et pour les perturbations à longue portée du Laplacien. On établit une nouvelle application à l’éxistence de nombreuses résonances pour des opérateurs de Schrödinger semi-classiques.
A trace formula of a boundary value problem for the operator Sturm-Liouville equation.
A trace inequality for functions of triangular Hilbert-Schmidt operators
A transmission problem
A Twistor Correspondence for Homogeneous Polynomial Differential Operators.
A Two Hilbert Space Scattering Theorem.
A two parameters Ambrosetti-Prodi problem.
A two-dimensional Hammerstein problem: The linear case.
A unified analysis of elliptic problems with various boundary conditions and their approximation
We design an abstract setting for the approximation in Banach spaces of operators acting in duality. A typical example are the gradient and divergence operators in Lebesgue-Sobolev spaces on a bounded domain. We apply this abstract setting to the numerical approximation of Leray-Lions type problems, which include in particular linear diffusion. The main interest of the abstract setting is to provide a unified convergence analysis that simultaneously covers (i) all usual boundary conditions, (ii)...
A Unified Approach for Constructing Fast Two-Step Newton-like Methods.
A unified approach to the strong approximation property and the weak bounded approximation property of Banach spaces
We consider convex versions of the strong approximation property and the weak bounded approximation property and develop a unified approach to their treatment introducing the inner and outer Λ-bounded approximation properties for a pair consisting of an operator ideal and a space ideal. We characterize this type of properties in a general setting and, using the isometric DFJP-factorization of operator ideals, provide a range of examples for this characterization, eventually answering a question...
A uniform estimate for quartile operators.
There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...