On the index of elliptic partial differential operators in \(R^n\)

DOI10.1007/BF02413185zbMath0413.35029MaRDI QIDQ1260531

K. Appert

Publication date: 1979

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spaceselliptic differential operators of arbitrary orderFredholm operators of index zeroSturm-Liouville type problemsummability index

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Index theory and related fixed-point theorems on manifolds (58J20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Higher-order elliptic equations (35J30)

Related Items

On the Poisson equation in exterior domains, Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces, On strong solutions of Poisson's equation in Beppo Levi spaces, The poisson equation with weights in exterior domains of Rⁿ, Problèmes elliptiques du second ordre sur une variété euclidienne à l'infini, Exterior stokes problems and decay at infinity

Cites Work

• Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains
• The null spaces of elliptic partial differential operators in R\(^n\)
• The basic propositions on defect numbers, root numbers and indices of linear operators
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• On positive eigenvalues of one‐body schrödinger operators
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