메뉴 건너뛰기




Volumn 233, Issue 2, 1999, Pages 644-658

Nonlinear Parabolic Equations with Regularized Derivatives

Author keywords

Nonlinear parabolic equations; Cauchy problems; generalized solutions; regularization; numerical methods

Indexed keywords


EID: 0345917503     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6326     Document Type: Article
Times cited : (21)

References (19)
  • 2
    • 0003287020 scopus 로고
    • A Nonlinear Theory of Generalized Functions
    • New York: Springer-Verlag
    • Biagioni H. A. A Nonlinear Theory of Generalized Functions. Lecture Notes in Mathematics. 1401:1990;Springer-Verlag, New York.
    • (1990) Lecture Notes in Mathematics , vol.1401
    • Biagioni, H.A.1
  • 4
    • 0000441171 scopus 로고
    • Generalized solutions to the Korteweg-de Vries and the regularized long-wave equations
    • Biagioni H. A., Oberguggenberger M. Generalized solutions to the Korteweg-de Vries and the regularized long-wave equations. SIAM J. Math. Anal. 23:1992;923-940.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 923-940
    • Biagioni, H.A.1    Oberguggenberger, M.2
  • 5
    • 0030578108 scopus 로고    scopus 로고
    • On convergence of entropy solutions of single conservation laws
    • Cockburn B., Gripenberg G., Londen S. O. On convergence of entropy solutions of single conservation laws. J. Differential Equations. 128:1996;206-251.
    • (1996) J. Differential Equations , vol.128 , pp. 206-251
    • Cockburn, B.1    Gripenberg, G.2    Londen, S.O.3
  • 8
    • 0012483682 scopus 로고
    • Multiplication of Distributions
    • Heidelberg: Springer-Verlag
    • Colombeau J. F. Multiplication of Distributions. Lecture Notes in Mathematics. 1532:1992;Springer-Verlag, Heidelberg.
    • (1992) Lecture Notes in Mathematics , vol.1532
    • Colombeau, J.F.1
  • 9
    • 0002297196 scopus 로고
    • Generalized solutions to Cauchy problems
    • Colombeau J. F., Heibig A. Generalized solutions to Cauchy problems. Monatsh. Math. 117:1994;33-49.
    • (1994) Monatsh. Math. , vol.117 , pp. 33-49
    • Colombeau, J.F.1    Heibig, A.2
  • 12
    • 0037636923 scopus 로고    scopus 로고
    • Generalized solution to partial differential equations of evolution type
    • Colombeau J. F., Heibig A., Oberguggenberger M. Generalized solution to partial differential equations of evolution type. Acta Appl. Math. 45:1996;115-142.
    • (1996) Acta Appl. Math. , vol.45 , pp. 115-142
    • Colombeau, J.F.1    Heibig, A.2    Oberguggenberger, M.3
  • 13
    • 0038651414 scopus 로고
    • Generalized and classical solutions of nonlinear parabolic equations
    • Heibig A., Moussaoui M. Generalized and classical solutions of nonlinear parabolic equations. Nonlinear Anal. 24:1995;789-794.
    • (1995) Nonlinear Anal. , vol.24 , pp. 789-794
    • Heibig, A.1    Moussaoui, M.2
  • 15
    • 0003292314 scopus 로고
    • Multiplication of Distribution and Applications to Partial Differential Equations
    • Harlow: Longman
    • Oberguggenberger M. Multiplication of Distribution and Applications to Partial Differential Equations. Pitman Research Notes Mathematics Series. 259:1992;Longman, Harlow.
    • (1992) Pitman Research Notes Mathematics Series , vol.259
    • Oberguggenberger, M.1
  • 16
    • 0038928787 scopus 로고    scopus 로고
    • Regularized conservation laws and nonlinear geometric optics
    • Oberguggenberger M., Wang Y. G. Regularized conservation laws and nonlinear geometric optics. Monatsh. Math. 127:1999;55-66.
    • (1999) Monatsh. Math. , vol.127 , pp. 55-66
    • Oberguggenberger, M.1    Wang, Y.G.2
  • 18
    • 84913033060 scopus 로고
    • Nonlinear Equivalence, Reduction of PDEs to ODEs and Fast Convergent Numerical Methods
    • Rosinger E. E. Nonlinear Equivalence, Reduction of PDEs to ODEs and Fast Convergent Numerical Methods. Pitman Research Notes in Mathematics Series. 77:1982.
    • (1982) Pitman Research Notes in Mathematics Series , vol.77
    • Rosinger, E.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.