메뉴 건너뛰기




Volumn 2, Issue 3, 2005, Pages 713-744

HYPERBOLIC DOMAINS OF DETERMINACY AND HAMILTON-JACOBI EQUATIONS

Author keywords

domain of independence; Domain of influence; finite speed; Hamilton Jacobi equation; time of arrival

Indexed keywords


EID: 78649462014     PISSN: 02198916     EISSN: 17936993     Source Type: Journal    
DOI: 10.1142/S0219891605000609     Document Type: Article
Times cited : (11)

References (22)
  • 1
    • 0001996578 scopus 로고
    • Smoothness of polynomials depending on parameters
    • (in Russian); English translation: Siberian Math. J. 20 (1980) 347–352
    • M. D. Bronshtein, Smoothness of polynomials depending on parameters, Siberian Mat. Zh. 20 (1979) 493–501 (in Russian); English translation: Siberian Math. J. 20 (1980) 347–352.
    • (1979) Siberian Mat. Zh , vol.20 , pp. 493-501
    • Bronshtein, M. D.1
  • 3
    • 0037188495 scopus 로고    scopus 로고
    • Fast phase space computation of multiple arrivals
    • S. Fomel and J. Sethian, Fast phase space computation of multiple arrivals, Proc. Nat. Acad. Sci. 99 (2002) 7329–7334.
    • (2002) Proc. Nat. Acad. Sci , vol.99 , pp. 7329-7334
    • Fomel, S.1    Sethian, J.2
  • 4
    • 0001380483 scopus 로고
    • Systems of conservation laws with a convex extension
    • K. O. Friedrichs and P. D. Lax, Systems of conservation laws with a convex extension, Proc. Nat. Acad. Sci. USA 68 (1971) 1686–1688.
    • (1971) Proc. Nat. Acad. Sci. USA , vol.68 , pp. 1686-1688
    • Friedrichs, K. O.1    Lax, P. D.2
  • 5
    • 34250597684 scopus 로고
    • Linear hyperbolic partial differential operators with constant coefficients
    • L. Gårding, Linear hyperbolic partial differential operators with constant coefficients, Acta Math. 85 (1951) 1–62.
    • (1951) Acta Math , vol.85 , pp. 1-62
    • Gårding, L.1
  • 6
    • 0001631730 scopus 로고
    • An interesting class of quasilinear systems
    • S. K. Godunov, An interesting class of quasilinear systems, Dokl. Akad. Nauk SSSR 139 (1972) 521.
    • (1972) Dokl. Akad. Nauk SSSR , vol.139 , pp. 521
    • Godunov, S. K.1
  • 7
    • 0001849199 scopus 로고
    • Symmetric form of the equations of magnetohydrodynamics
    • S. K. Godunov, Symmetric form of the equations of magnetohydrodynamics, Numer. Methods Mech. Continuum Medium 1 (1972) 26.
    • (1972) Numer. Methods Mech. Continuum Medium , vol.1 , pp. 26
    • Godunov, S. K.1
  • 8
    • 25844438697 scopus 로고
    • Über eindeutigkeit und analytizität der lösungen partieller differenzialgleichungen
    • A. Haar, Über eindeutigkeit und analytizität der lösungen partieller differenzialgleichungen, Atti del Congr. Intern. dei Mat. Bologna 3 (1928) 5–10.
    • (1928) Atti del Congr. Intern. dei Mat. Bologna , vol.3 , pp. 5-10
    • Haar, A.1
  • 9
    • 11744271647 scopus 로고
    • Uniqueness theorems and estimates for normally hyperbolic partial differential equations of the second order
    • (Lunds Universitets Matematiska Institution, Lund)
    • L. Hörmander, Uniqueness theorems and estimates for normally hyperbolic partial differential equations of the second order, Tolfte Skandinaviska Matematikerkongressen (Lunds Universitets Matematiska Institution, Lund, 1954), pp. 105–115.
    • (1954) Tolfte Skandinaviska Matematikerkongressen , pp. 105-115
    • Hörmander, L.1
  • 12
    • 84980075338 scopus 로고
    • On linear partial differential equations with analytic coefficients, Unique continuation of data
    • F. John, On linear partial differential equations with analytic coefficients, Unique continuation of data, C.P.A.M. 2 (1949) 209–253.
    • (1949) C.P.A.M , vol.2 , pp. 209-253
    • John, F.1
  • 14
    • 0002950929 scopus 로고
    • Shock waves and entropy
    • ed. E. Zarantonello (Academic Press, NY)
    • P. Lax, Shock waves and entropy, in Contributions to Nonlinear Functional Analysis, ed. E. Zarantonello (Academic Press, NY, 1971) 603–634.
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 603-634
    • Lax, P.1
  • 16
    • 0004232356 scopus 로고
    • Generalized Solutions of Hamilton–Jacobi Equations
    • P.-L. Lions, Generalized Solutions of Hamilton–Jacobi Equations, Pittman Lecture Notes (1982).
    • (1982) Pittman Lecture Notes
    • Lions, P.-L.1
  • 17
    • 84916101500 scopus 로고
    • Sur les champs continus de demi cônes convexes et leurs intégrales
    • A. Marchaud, Sur les champs continus de demi cônes convexes et leurs intégrales, Compositio Math. 2 (1936) 89–127.
    • (1936) Compositio Math , vol.2 , pp. 89-127
    • Marchaud, A.1
  • 19
    • 0003228130 scopus 로고
    • Partial Differential Equations
    • (Springer-Verlag)
    • J. Rauch, Partial Differential Equations, Graduate Texts in Mathematics, Vol. 128 (Springer-Verlag, 1991).
    • (1991) Graduate Texts in Mathematics , vol.128
    • Rauch, J.1
  • 20
    • 0001807064 scopus 로고    scopus 로고
    • A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs
    • S. Ruuth, B. Merriman and S. Osher, A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs, J. Comp. Phys. 163 (2000) 1–21.
    • (2000) J. Comp. Phys , vol.163 , pp. 1-21
    • Ruuth, S.1    Merriman, B.2    Osher, S.3
  • 21
    • 0034687913 scopus 로고    scopus 로고
    • A new Eulerian method for the computation of propagating short acoustic and electromagnetic pulses
    • J. Steinfhoff, M. Fan and L. Wang, A new Eulerian method for the computation of propagating short acoustic and electromagnetic pulses, J. Comp. Phys. 157 (2000) 683–706.
    • (2000) J. Comp. Phys , vol.157 , pp. 683-706
    • Steinfhoff, J.1    Fan, M.2    Wang, L.3
  • 22
    • 0012113884 scopus 로고
    • Remarks on hyperbolic polynomials
    • S. Wakabayashi, Remarks on hyperbolic polynomials, Tsukuba J. Math. 10 (1986) 17–28.
    • (1986) Tsukuba J. Math , vol.10 , pp. 17-28
    • Wakabayashi, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.