Upper and lower bounds in equations of forced vibration type

DOI10.1007/BF00250697zbMath0122.33603OpenAlexW2023769913MaRDI QIDQ2626840

James H. Bramble, Lawrence E. Payne

Publication date: 1963

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250697

zbMATH Keywords

partial differential equations

Related Items (3)

High-order compact finite difference methods for solving the high-dimensional Helmholtz equations ⋮ A counterexample to Payne's nodal line conjecture with few holes ⋮ Approximation of the eigenvectors of a positive compact operator and estimate of the error

Cites Work

• New bounds for solutions of second order elliptic partial differential equations
• Lower bounds to eigenvalues using operator decompositions of the form \(B*B\)
• Bounds in the Neumann problem for second order uniformly elliptic operators
• On some approximate methods concerning the operators \(T^*T\)
• Error bounds in the Rayleigh-Ritz approximation of eigenvectors
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