Counterexample to a theorem on differential equations in Hilbert space
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- by William J. Knight PDF
- Proc. Amer. Math. Soc. 51 (1975), 378-380 Request permission
Abstract:
A counterexample is given to a theorem by Felix Browder concerning solutions of differential equations with values in Hilbert space. Several valid conclusions (as near the original conclusions as possible) are pointed out.References
- Felix E. Browder, Non-linear equations of evolution, Ann. of Math. (2) 80 (1964), 485โ523. MR 173960, DOI 10.2307/1970660
- J. B. Diaz and R. J. Weinacht, On nonlinear differential equations in Hilbert spaces, Applicable Anal. 1 (1971), no.ย 1, 31โ41. MR 282032, DOI 10.1080/00036817108839004
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
- L. A. Medeiros, On nonlinear differential equations in Hilbert spaces, Amer. Math. Monthly 76 (1969), 1024โ1027. MR 248433, DOI 10.2307/2317128
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 378-380
- MSC: Primary 34G05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0372357-7
- MathSciNet review: 0372357