On global solution of nonlinear hyperbolic equations

D. H. Sattinger

doi:10.1007/bf00250942

journal article Jan 01, 1968

On global solution of nonlinear hyperbolic equations

D. H. Sattinger

Archive for Rational Mechanics and Analysis Vol. 30 No. 2 pp. 148-172 · Springer Science and Business Media LLC

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References

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Bers, L., F. John, & M. Schecter, Partial Differential Equations. New York: Interscience 1964.

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Courant, R., & D. Hilbert, Methods of Mathematical Physics, vol. 1. New York: Interscience 1953.

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Courant, R., & D. Hilbert, Methods of Mathematical Physics, vol. 2. New York: Interscience 1962.

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Hopf, E., Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Math. Nach. 4, 213–231 (1950–51). 10.1002/mana.3210040121

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Keller, J.B., On solutions of non-linear wave equations. Comm. Pure and App. Math. 10, 523–530 (1957). 10.1002/cpa.3160100404

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Krasnosel'skii, M. A., & Ya. B. Rutickii, Convex Functions and Orlicz Spaces. Groningen: Noordhoof Ltd. 1961.

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Sattinger, D., Stability of nonlinear hyperbolic equations. Arch. Rational Mech. Anal. 28, 226–244 (1968). 10.1007/bf00250928

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Sobolev, S. L., Applications of Functional Analysis in Mathematical Physics. American Mathematical Society, Providence, 1963. 10.1090/mmono/007

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Details

Published: Jan 01, 1968
Vol/Issue: 30(2)
Pages: 148-172
License: View

Authors

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D. H. Sattinger

Cite This Article

D. H. Sattinger (1968). On global solution of nonlinear hyperbolic equations. Archive for Rational Mechanics and Analysis, 30(2), 148-172. https://doi.org/10.1007/bf00250942

On global solution of nonlinear hyperbolic equations

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