𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Integral theorems for eigenfunctions of second-order elliptic differential operators

✍ Scribed by E. Müller-Pfeiffer; J. Staude

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
467 KB
Volume
98
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

HILBERT space L,(D) where the coefficients always fulfil the following conditions.

i)

ii) a@), q(z) E Cl(l2) and real-valued, a&) = a@), x E D, ( 7) Denoting the domain of the FRIEDRICHS extension A by D(A) we have W ) r H A . 5 mR"). 1) W#W) is the completion of Com(Rn) in the norm Ilullw&BT8) = (IIVulla + I I W ~.

📜 SIMILAR VOLUMES

Zeros of eigenfunctions of a class of ge
Zeros of eigenfunctions of a class of generalized second order differential operators on the Cantor set
✍ Uta Freiberg; Jörg-Uwe Löbus 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 165 KB

## Abstract Generalized second order differential operators of the form $ {d \over {d \mu}} {d \over {dx}} $ when __μ__ is a selfsimilar measure whose support is the classical Cantor set are considered. The asymptotic distribution of the zeros of the eigenfunctions is determined. (© 2004 WILEY‐VCH

Bound for resolvent of second order elli
Bound for resolvent of second order elliptic operator in low spectral stripe
✍ Andrzej Łada; Leszek Sidz 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 125 KB

## Abstract Mourre method of commutators is used to get low energy resolvent bound for an abstract operatorin a Hilbert space and for a second order variable coefficient elliptic operator in __R__^__d__^, __d__⩾3. Copyright © 2002 John Wiley & Sons, Ltd.

Global bifurcation theorem for a class o
Global bifurcation theorem for a class of boundary conditions for ordinary differential equations of second order
✍ Jacek Gulgowski 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract In this paper we deal with boundary value problems equation image where __l__ : __C__^1^([__a, b__], ℝ^__k__^) → ℝ^__k__^ × ℝ^__k__^ is continuous, __μ__ ≤ 0 and __φ__ is a Caratheodory map. We define the class __S__ of maps __l__, for which a global bifurcation theorem holds for the

Solution of boundary and eigenvalue prob
Solution of boundary and eigenvalue problems for second-order elliptic operators in the plane using pseudoanalytic formal powers
✍ Raúl Castillo Pérez; Vladislav V. Kravchenko; Rabindranath Reséndiz Vázquez 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 262 KB

## Communicated by G. Franssens We propose a method for solving boundary value and eigenvalue problems for the elliptic operator D = div p grad+q in the plane using pseudoanalytic function theory and in particular pseudoanalytic formal powers. Under certain conditions on the coefficients p and q w