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Volumn 27, Issue 2, 1998, Pages 337-381

Local solutions of fully nonlinear weakly hyperbolic differential equations in Sobolev spaces

Author keywords

Energy method; Fully nonlinear weakly hyperbolic equations; Local solutions in Sobolev spaces

Indexed keywords


EID: 0001618843     PISSN: 03854035     EISSN: None     Source Type: Journal    
DOI: 10.14492/hokmj/1351001290     Document Type: Article
Times cited : (10)

References (15)
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    • Aleksaiidrian, G.1
  • 3
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    • D’Ancona P., Local existence for semilinear weakly hyperbolic equations with time dependent coefficients. Nonlinear Analysis 21 (9) (1993), 685-696.
    • (1993) Nonlinear Analysis , vol.21 , Issue.9 , pp. 685-696
    • D’Ancona, P.1
  • 6
    • 0002261849 scopus 로고
    • Local solution of Cauchy problem for nonlinear hyperbolic systems in Gevrey classes
    • Kajitani K., Local solution of Cauchy problem for nonlinear hyperbolic systems in Gevrey classes. Hokkaido Math. J. 12 (1983), 434-460.
    • (1983) Hokkaido Math. J , vol.12 , pp. 434-460
    • Kajitani, K.1
  • 9
    • 0043176448 scopus 로고
    • On a Cauchy problem for degenerate hyperbolic equations of second order (In Russian)
    • Nersesian A., On a Cauchy problem for degenerate hyperbolic equations of second order (in Russian). Dokl. Akad. Nauk SSSR 166 (1966), 1288-1291.
    • (1966) Dokl. Akad. Nauk SSSR , vol.166 , pp. 1288-1291
    • Nersesian, A.1
  • 11
    • 0000340048 scopus 로고
    • On the Cauchy problem for a class of hyperbolic equations with initial data on the parabolic degenerating line
    • Qi Minyou, On the Cauchy problem for a class of hyperbolic equations with initial data on the parabolic degenerating line. Acta Math. Sinica 8 (1958), 521-529.
    • (1958) Acta Math. Sinica , vol.8 , pp. 521-529
    • Qi, M.1
  • 13
    • 0009318355 scopus 로고    scopus 로고
    • Levi conditions and global Gevrey regularity for the solutions of quasilinear weakly hyperbolic equations
    • Reissig M. and Yagdjian K., Levi conditions and global Gevrey regularity for the solutions of quasilinear weakly hyperbolic equations. Mathematische Nachrichten 178 (1996), 285-307.
    • (1996) Mathematische Nachrichten , vol.178 , pp. 285-307
    • Reissig, M.1    Yagdjian, K.2
  • 14
    • 33746929351 scopus 로고
    • Existence and uniqueness of hyperbolic equations which are not necessarily strictly hyperbolic
    • Steinberg S., Existence and uniqueness of hyperbolic equations which are not necessarily strictly hyperbolic. Journal of differential equations 17 (1975), 119-153.
    • (1975) Journal of Differential Equations , vol.17 , pp. 119-153
    • Steinberg, S.1
  • 15
    • 0001119616 scopus 로고
    • A hyperbolic equation with double characteristics which has a solution with branching singularities
    • Taniguchi K. and Tozaki Y., A hyperbolic equation with double characteristics which has a solution with branching singularities. Math. Japonica 25 (3) (1980), 279-300.
    • (1980) Math. Japonica , vol.25 , Issue.3 , pp. 279-300
    • Taniguchi, K.1    Tozaki, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.