ピーター・オルバー

ピーター・オルバーは、アメリカ合衆国の数学者。専門は、微分方程式。

1. 著書
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Olver, P. J. , Applications of Lie Groups to Differential Equations, Springer.
Olver, P. J. , Equivalence, Invariants and Symmetry, Cambridge University Press.
Olver, P. J. , Classical Invariant Theory, Cambridge University Press.
Olver, P. J.; Shakiban, C. , Applied Linear Algebra, Prentice–Hall.
Olver, P. J., & Sattinger, D. H. . . Solitons in physics, mathematics, and nonlinear optics. Springer Science & Business Media.
Olver, P. J. , Introduction to Partial Differential Equations, Springer.
Kac, Victor G. ; Olver, Peter J. ; Winternitz, Pavel ; Özer, Teoman  Symmetries, differential equations and applications. SDEA-III, Istanbul, Turkey, August 14–17, 2017. Selected papers based on the presentations at the conference. Springer Proceedings in Mathematics & Statistics 266. Cham: Springer . viii, 199 p. .

2. 代表的な論文
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2.1. 単著
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Olver, P. J. . Evolution equations possessing infinitely many symmetries. Journal of Mathematical Physics, 18, 1212-1215.
Olver, P. J. . Direct reduction and differential constraints. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 444, 509-523.

2.1.1. 2000年代
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Olver, P. J. . Joint invariant signatures. Foundations of Computational Mathematics, 1, 3-68.
Olver, P. J. . Geometric foundations of numerical algorithms and symmetry. Applicable Algebra in Engineering, Communication and Computing, 11, 417-436.
Olver, P. J. . On multivariate interpolation. Studies in Applied Mathematics, 116, 201-240.

2.1.2. 2010年代
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Olver, P. J. . Moving frames and differential invariants in centro-affine geometry. Lobachevskii Journal of Mathematics, 31, 77-89.
Olver, P. J. . Differential Invariant Algebra. Comtemp. Math, 549, 95-121.

2.2. 共著
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2.2.1. 1980年代
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Ball, J. M., Currie, J. C., & Olver, P. J. . Null Lagrangians, weak continuity, and variational problems of arbitrary order. Journal of Functional Analysis, 41, 135-174.
Benjamin, T. B., & Olver, P. J. . Hamiltonian structure, symmetries and conservation laws for water waves. Journal of Fluid Mechanics, 125, 137-185.
Olver, P. J., & Rosenau, P. . The construction of special solutions to partial differential equations. Physics Letters A, 114, 107-112.
Olver, P. J., & Rosenau, P. . Group-invariant solutions of differential equations. SIAM Journal on Applied Mathematics, 47, 263-278.

2.2.2. 1990年代
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Kichenassamy, S., & Olver, P. J. . Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. SIAM Journal on Mathematical Analysis, 23, 1141-1166.
Gonzalez-Lopez, A., Kamran, N., & Olver, P. J. . Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators. Communications in mathematical physics, 153, 117-146.
González‐López, A., Kamran, N., & Olver, P. J. . Lie algebras of vector fields in the real plane. Proceedings of the London Mathematical Society, 3, 339-368.
Olver, P. J., & Rosenau, P. . Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support. Physical Review E, 53.
Calabi, E., Olver, P. J., Shakiban, C., Tannenbaum, A., & Haker, S. . Differential and numerically invariant signature curves applied to object recognition. International Journal of Computer Vision, 26, 107-135.
Olver, P. J., & Sokolov, V. V. . Integrable evolution equations on associative algebras. Communications in Mathematical Physics, 193, 245-268.
Fels, M., & Olver, P. J. . Moving coframes: I. A practical algorithm. Acta Applicandae Mathematica, 51, 161-213.
Fels, M., & Olver, P. J. . Moving coframes: II. Regularization and theoretical foundations. Acta Applicandae Mathematica, 55, 127-208.

2.2.3. 2000年代
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Li, Y. A., & Olver, P. J. . Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. Journal of Differential Equations, 162, 27-63.
Kogan, I. A., & Olver, P. J. . Invariant Euler–Lagrange equations and the invariant variational bicomplex. Acta Applicandae Mathematica, 76, 137-193.
Olver, P. J., & Pohjanpelto, J. . Maurer–Cartan forms and the structure of Lie pseudo-groups. Selecta Mathematica, 11, 99.
Olver, P. J., & Pohjanpelto, J. . Moving frames for Lie pseudo–groups. Canadian Journal of Mathematics, 60, 1336-1386.

2.2.4. 2010年代
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Gui, G., Liu, Y., Olver, P. J., & Qu, C. . Wave-breaking and peakons for a modified Camassa–Holm equation. Communications in Mathematical Physics, 319, 731-759.
Liu, Y., Olver, P. J., Qu, C., & Zhang, S. . On the blow-up of solutions to the integrable modified Camassa–Holm equation. Analysis and Applications, 12, 355-368.

3. 関連項目
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フランク・オルバー-父

4. 外部リンク
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[1]-ワシントン・ポスト