Hans Weinberger

Hans F. Weinberger (September 27, 1928 in Vienna)^[1] is an Austrian-American mathematician, known for his contributions to variational methods for eigenvalue problems, partial differential equations, and fluid dynamics.

He obtained an M.S. in physics from Carnegie Institute of Technology (1948) where he also got his Sc.D. on the thesis Fourier Transforms of Moebius Series advised by Richard Duffin (1950).^[2] He then worked at the institute for Fluid Dynamics at University of Maryland, College Park (1950–60), and as professor at University of Minnesota (1961–98) where he was department head (1967–69) and now is Professor Emeritus (1998–). Weinberger was the first director of Institute for Mathematics and its Applications (1981–87).

In 2012 he became a fellow of the American Mathematical Society.^[3]

Selected articles

• "An inequality with alternating signs". Proc Natl Acad Sci U S A. 38 (7): 611–613. 1952. doi:10.1073/pnas.38.7.611. PMC 1063623. PMID 16589155. 
• with J. B. Diaz: "Error estimation in the Weinstein method for eigenvalues". Proc. Amer. Math. Soc. 3 (4): 643–646. 1952. doi:10.1090/s0002-9939-1952-0050177-5. MR 0050177. 
• "A solution of the singular initial value problem for the Euler-Poisson-Darboux equation". Proc. Amer. Math. Soc. 4 (5): 703–715. 1953. doi:10.1090/s0002-9939-1953-0058099-1. MR 0058099. 
• "Error bounds in the Rayleigh-Ritz approximation of eigenvectors" (PDF). Nat. Bureau of Standards J. of Research. 64B: 216–225. 1960. doi:10.6028/jres.064b.023. 
• "On bounding harmonic functions by linear interpolation". Bull. Amer. Math. Soc. 70 (4): 525–529. 1964. doi:10.1090/s0002-9904-1964-11183-6. MR 0162953. 
• with M. H. Protter: "On the spectrum of general second order operators". Bull. Amer. Math. Soc. 72 (2): 251–255. 1966. doi:10.1090/s0002-9904-1966-11485-4. MR 0190527. 

Books

• A First Course in Partial Differential Equations (Dover, 1995)
• Maximum Principles in Differential Equations (Prentice-Hall, 1967; Springer, 1985). With Murray H. Protter.
• Variational Methods for Eigenvalue Approximation, C.B.M.S. Regional Conference Series in Applied Mathematics #15, S.I.A.M., Philadelphia, 1974.

See also

• Davis–Kahan–Weinberger dilation theorem

References