Patterns of exponential decay for solutions to second order elliptic equations in a sector of \({\mathbb{R}}^ 2\)

DOI10.1007/BF02792894zbMath0657.35047MaRDI QIDQ1110715

Richard Froese, Ira W. Herbst

Publication date: 1987

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

elliptic equationsexponential decaysecond orderdecayspatterns of exponential decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (3)

Scattering theory on SL(3)/SO(3): Connections with quantum 3-body scattering ⋮ On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\) ⋮ Unnamed Item

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Exponential lower bounds to solutions of the Schrödinger equation: lower bounds for the spherical average
• Unique continuation for Schrödinger operators in dimension three or less
• \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation
• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Continuity and nodal properties near infinity for solutions of 2- dimensional Schrödinger equations
• Lower bounds in cones for solutions to the Schrödinger equation
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals
• \(L^ p-\)inequalities for the Laplacian and unique continuation
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Uniqueness theorems for second order elliptic differential equations
• Convex Analysis
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