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Monatshefte fur Mathematik
Volumn 127, Issue 1, 1999, Pages 55-66
Regularized conservation laws and nonlinear geometric optics
Author keywords

Cauchy problems; Conservation laws; Generalized solutions; Nonlinear geometric optics
Indexed keywords

EID: 0038928787     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050050022     Document Type: Article
Times cited : (2)
References (15)
  • 1
    • 0039610860 scopus 로고    scopus 로고
    • Oscillations de faible amplitude pour des systèmes 2 × 2 de lois de conservation
    • CHEVERRY C (1996) Oscillations de faible amplitude pour des systèmes 2 × 2 de lois de conservation. Asymptotic Analysis 12: 1-24
    • (1996) Asymptotic Analysis , vol.12 , pp. 1-24
    • Cheverry, C.1
  • 4
    • 0012483682 scopus 로고
    • Multiplication of distributions
    • Heidelberg: Springer
    • COLOMBEAU JF (1992) Multiplication of Distributions. Lect Notes Math 1532. Heidelberg: Springer
    • (1992) Lect Notes Math , vol.1532
    • Colombeau, J.F.1
  • 5
    • 0002297196 scopus 로고
    • Generalized solutions to Cauchy problems
    • COLOMBEAU JF, HEIBIG A (1994) Generalized solutions to Cauchy problems. Mh Math 117: 33-49
    • (1994) Mh Math , vol.117 , pp. 33-49
    • Colombeau, J.F.1    Heibig, A.2
  • 6
    • 0001199015 scopus 로고
    • Le problème de Cauchy dans un espace de fonctions généralisées, I
    • Série I
    • COLOMBEAU JF, HEIBIG A, OBERGUGGENBERGER M (1993) Le problème de Cauchy dans un espace de fonctions généralisées, I. CR Acad Sci Paris, t 317, Série I: 851-855
    • (1993) CR Acad Sci Paris, T 317 , vol.317 , pp. 851-855
    • Colombeau, J.F.1    Heibig, A.2    Oberguggenberger, M.3
  • 7
    • 0001325215 scopus 로고
    • Le problème de Cauchy dans un espace de fonctions généralisées, II
    • Série I
    • COLOMBEAU JF, HEIBIG A, OBERGUGGENBERGER M (1994) Le problème de Cauchy dans un espace de fonctions généralisées, II. C R Acad Sci Paris, t 319, Série I: 1179-1183
    • (1994) C R Acad Sci Paris, T 319 , vol.319 , pp. 1179-1183
    • Colombeau, J.F.1    Heibig, A.2    Oberguggenberger, M.3
  • 8
    • 0037636923 scopus 로고    scopus 로고
    • Generalized solutions to partial differential equations of evolution type
    • COLOMBEAU JF, HEIBIG A, OBERGUGGENBERGER M (1996) Generalized solutions to partial differential equations of evolution type. Acta Appl Math 45: 115-142
    • (1996) Acta Appl Math , vol.45 , pp. 115-142
    • Colombeau, J.F.1    Heibig, A.2    Oberguggenberger, M.3
  • 9
    • 34250110146 scopus 로고
    • The validity of nonlinear geometric optics for weak solutions of conservation laws
    • DIPERNA R, MAJDA A (1985) The validity of nonlinear geometric optics for weak solutions of conservation laws. Commun Math Phys 98: 313-347
    • (1985) Commun Math Phys , vol.98 , pp. 313-347
    • Diperna, R.1    Majda, A.2
  • 10
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws II
    • LAX PD (1957) Hyperbolic systems of conservation laws II. Commun Pure Appl Math 10: 537-566
    • (1957) Commun Pure Appl Math , vol.10 , pp. 537-566
    • Lax, P.D.1
  • 11
    • 0001198693 scopus 로고
    • Resonantly one dimensional nonlinear geometric optics
    • JOLY JL, MÉTIVIER G, RAUCH J (1993) Resonantly one dimensional nonlinear geometric optics. J Funct Anal 114: 106-231
    • (1993) J Funct Anal , vol.114 , pp. 106-231
    • Joly, J.L.1    Métivier, G.2    Rauch, J.3
  • 13
    • 0039987215 scopus 로고    scopus 로고
    • Justification de l'optique géométrique non linéaire pour le problème mixte: Cas des concentrations
    • SABLÉ-TOUGERON M (1996) Justification de l'optique géométrique non linéaire pour le problème mixte: cas des concentrations. Asymptotic Analysis 12: 169-186
    • (1996) Asymptotic Analysis , vol.12 , pp. 169-186
    • Sablé-Tougeron, M.1
  • 14
    • 0005500852 scopus 로고
    • Resonant nonlinear geometric optics for weak solutions of conservation laws
    • SCHOCHET S (1994) Resonant nonlinear geometric optics for weak solutions of conservation laws. J Diff Eqs 113: 473-504
    • (1994) J Diff Eqs , vol.113 , pp. 473-504
    • Schochet, S.1
  • 15
    • 26144474574 scopus 로고
    • Method of geometrical optics and applications to degenerate conservation laws
    • BREZIS H, LIONS JL (eds) Nonlinear Partial Differential Equations and Their Applications. Collège de France Seminar, Vol XI. Harlow: Longman
    • VANNINATHAN M (1994) Method of geometrical optics and applications to degenerate conservation laws. In: BREZIS H, LIONS JL (eds) Nonlinear Partial Differential Equations and Their Applications. Collège de France Seminar, Vol XI. Pitman Res Notes in Math Vol 299, pp 291-311. Harlow: Longman
    • (1994) Pitman Res Notes in Math , vol.299
    • Vanninathan, M.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.