1,721,158 research outputs found
ON THE STABILITY OF SOLITARY WAVES FOR CLASSICAL SCALAR FIELDS
Full text linkBlanchard P, STUBBE J, VAZQUEZ L. ON THE STABILITY OF SOLITARY WAVES FOR CLASSICAL SCALAR FIELDS. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE. 1987;47(3):309-336
STABILITY OF NONLINEAR SPINOR FIELDS WITH APPLICATION TO THE GROSS-NEVEU MODEL
No full textBlanchard P, STUBBE J, VAZQUEZ L. STABILITY OF NONLINEAR SPINOR FIELDS WITH APPLICATION TO THE GROSS-NEVEU MODEL. PHYSICAL REVIEW D. 1987;36(8):2422-2428
NEW ESTIMATES ON THE NUMBER OF BOUND-STATES OF SCHRODINGER-OPERATORS
No full textBlanchard P, STUBBE J, REZENDE J. NEW ESTIMATES ON THE NUMBER OF BOUND-STATES OF SCHRODINGER-OPERATORS. LETTERS IN MATHEMATICAL PHYSICS. 1987;14(3):215-225
STABILITY OF BOUND-STATES FOR (1+1)-DIMENSIONAL NON-LINEAR SCALAR FIELDS
No full textBlanchard P, STUBBE J, VAZQUEZ L. STABILITY OF BOUND-STATES FOR (1+1)-DIMENSIONAL NON-LINEAR SCALAR FIELDS. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 1988;21(5):1137-1156
Bound states for Schrodinger Hamiltonians: Phase space methods and applications
No full textBlanchard P, Stubbe J. Bound states for Schrodinger Hamiltonians: Phase space methods and applications. REVIEWS IN MATHEMATICAL PHYSICS. 1996;8(04):503-547.Properties of bound states for Schrodinger operators are reviewed. These include: bounds on the number of bound states and on the moments of the energy levels, existence and nonexistence of bound states, phase space bounds and semi-classical results, the special case of central potentials, and applications of these bounds in quantum mechanics of many particle systems and dynamical systems. For the phase space bounds relevant to these applications we improve the explicit constants
Semiclassical Estimates for Eigenvalue Means of Laplacians on Spheres
No full textWe compute three-term semiclassical asymptotic expansions of counting functions and Riesz-means of the eigenvalues of the Laplacian on spheres and hemispheres, for both Dirichlet and Neumann boundary conditions. Specifically for Riesz-means we prove upper and lower bounds involving asymptotically sharp shift terms, and we extend them to domains of Sd . We also prove a Berezin–Li–Yau inequality for domains contained in the hemisphere S+2
On the spectral asymptotics for the buckling problem
Full text linkWe provide a direct proof of Weyl's law for the buckling eigenvalues of the biharmonic operator on domains of Rd of finite measure. The proof relies on asymptotically sharp lower and upper bounds that we develop for the Riesz mean R2(z). Lower bounds are obtained by making use of the so-called "averaged variational principle."Upper bounds are obtained in the spirit of Berezin-Li-Yau. Moreover, we state a conjecture for the second term in Weyl's law and prove its correctness in two special cases: balls in Rd and bounded intervals in R
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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