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Volumn 215, Issue 1, 1997, Pages 15-31

Continuous dependence on modeling for related Cauchy problems of a class of evolution equations

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 0031260782     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5597     Document Type: Article
Times cited : (16)

References (19)
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    • Adelson, L.1
  • 2
    • 0010999864 scopus 로고
    • Singular perturbation of an improperly posed Cauchy problem
    • Adelson L. Singular perturbation of an improperly posed Cauchy problem. SIAM J. Math. Anal. 5:1974;417-424.
    • (1974) SIAM J. Math. Anal. , vol.5 , pp. 417-424
    • Adelson, L.1
  • 4
    • 0011029270 scopus 로고
    • On the comparison of solutions of related properly and improperly posed Cauchy problems for first order operator equations
    • Ames K. A. On the comparison of solutions of related properly and improperly posed Cauchy problems for first order operator equations. SIAM J. Math. Anal. 13:1982;594-606.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 594-606
    • Ames, K.A.1
  • 5
    • 11744341333 scopus 로고
    • Improperly posed problems for nonlinear partial differential equations
    • San Diego: Academic Press. p. 1-29
    • Ames K. A. Improperly posed problems for nonlinear partial differential equations. Nonlinear Equations in the Applied Sciences. 1992;Academic Press, San Diego. p. 1-29.
    • (1992) Nonlinear Equations in the Applied Sciences
    • Ames, K.A.1
  • 8
    • 0000992210 scopus 로고
    • Continuous dependence on the relaxation time and modelling, and unbounded growth in theories of heat conduction with finite propagation speeds
    • Franchi F., Straughan B. Continuous dependence on the relaxation time and modelling, and unbounded growth in theories of heat conduction with finite propagation speeds. J. Math. Anal. Appl. 185:1994;726-746.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 726-746
    • Franchi, F.1    Straughan, B.2
  • 9
    • 0028769189 scopus 로고
    • Spatial decay estimates and continuous dependence on modelling for an equation from dynamo theory
    • Franchi F., Straughan B. Spatial decay estimates and continuous dependence on modelling for an equation from dynamo theory. Proc. Roy. Soc. London Ser. A. 445:1994;437-451.
    • (1994) Proc. Roy. Soc. London Ser. A , vol.445 , pp. 437-451
    • Franchi, F.1    Straughan, B.2
  • 11
    • 0002641771 scopus 로고
    • Logarithmic convexity and the Cauchy problem for some abstract second-order differential inequalities
    • Levine H. A. Logarithmic convexity and the Cauchy problem for some abstract second-order differential inequalities. J. Differential Equations. 8:1970;34-55.
    • (1970) J. Differential Equations , vol.8 , pp. 34-55
    • Levine, H.A.1
  • 12
    • 38249015734 scopus 로고
    • Continuous dependence on the source parameters for convective motion in porous media
    • Morro A., Straughan B. Continuous dependence on the source parameters for convective motion in porous media. Nonlinear Anal. 18:1992;307-315.
    • (1992) Nonlinear Anal. , vol.18 , pp. 307-315
    • Morro, A.1    Straughan, B.2
  • 13
    • 0003256768 scopus 로고
    • Improperly posed problems in partial differential equations
    • SIAM, Philadelphia
    • L. E. Payne, 1975, Improperly posed problems in partial differential equations, CBMS Regional Conference Series in Applied Mathematics, 22, SIAM, Philadelphia.
    • (1975) CBMS Regional Conference Series in Applied Mathematics , vol.22
    • Payne, L.E.1
  • 14
    • 0002916720 scopus 로고
    • On stabilizing ill-posed problems against errors in geometry and modeling
    • San Diego: Academic Press. p. 443-450
    • Payne L. E. On stabilizing ill-posed problems against errors in geometry and modeling. Inverse and Ill-Posed Problems. 1987;Academic Press, San Diego. p. 443-450.
    • (1987) Inverse and Ill-Posed Problems
    • Payne, L.E.1
  • 15
    • 0002267602 scopus 로고
    • On geometric and modeling perturbations in partial differential equations
    • Cambridge: Cambridge Univ. Press. p. 108-128
    • Payne L. E. On geometric and modeling perturbations in partial differential equations. London Math. Soc. Symposium on Non-classical Continuum Mechanics Proc. 1987;Cambridge Univ. Press, Cambridge. p. 108-128.
    • (1987) London Math. Soc. Symposium on Non-classical Continuum Mechanics Proc.
    • Payne, L.E.1
  • 16
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    • Error estimates for the temperature of a piece of cold ice, given data on only part of the boundary
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    • Payne, L.E.1    Straughan, B.2
  • 19
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    • Mathematical Aspects of Penetrative Convection
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    • Straughan, B.1


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