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Cannon, John Rozier

Author ID: cannon.john-rozier Recent zbMATH articles by "Cannon, John Rozier"
Published as: Cannon, J. R.; Cannon, John R.; Cannon, John Rozier; Cannon, J.; Cannon, John
External Links: MGP · dblp
Documents Indexed: 161 Publications since 1961, including 2 Books
2 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 58 Co-Authors with 139 Joint Publications
1,214 Co-Co-Authors
all top 5

Serials

18 Journal of Mathematical Analysis and Applications
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 SIAM Journal on Applied Mathematics
9 Inverse Problems
9 SIAM Journal on Numerical Analysis
7 International Journal of Engineering Science
5 Journal of Differential Equations
4 SIAM Journal on Mathematical Analysis
3 Archive for Rational Mechanics and Analysis
3 Calcolo
3 Duke Mathematical Journal
3 Quarterly of Applied Mathematics
3 Bollettino della Unione Matemàtica Italiana. Serie VII. B
3 Journal of Mathematics and Mechanics
2 Applicable Analysis
2 Journal of the Australian Mathematical Society, Series B
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Le Matematiche
2 Meccanica
2 Bollettino della Unione Matematica Italiana. Series V. B
2 Journal of the Society for Industrial & Applied Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
2 Encyclopedia of Mathematics and Its Applications
1 IMA Journal of Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Biosciences
1 Mathematics of Computation
1 Applied Mathematics and Computation
1 Indiana University Mathematics Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Journal of Computational Mathematics
1 Numerical Methods for Partial Differential Equations
1 Journal of Integral Equations and Applications
1 Differential and Integral Equations
1 Communications in Partial Differential Equations
1 Bollettino della Unione Matemàtica Italiana. Supplemento
1 Advances in Mathematical Sciences and Applications
1 Electronic Journal of Differential Equations (EJDE)
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Discrete and Continuous Dynamical Systems
1 Proceedings of the Cambridge Philosophical Society
1 Bulletin of the American Mathematical Society
1 ISNM. International Series of Numerical Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 International Journal of Differential Equations
1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

131 Publications have been cited 2,726 times in 1,709 Documents Cited by Year
The solution of the heat equation subject to the specification of energy. Zbl 0173.38404
Cannon, J. R.
204
1964
The one-dimensional heat equation. Foreword by Felix E. Browder. Zbl 0567.35001
Cannon, John Rozier
168
1984
Structural identification of an unknown source term in a heat equation. Zbl 0917.35156
Cannon, J. R.; DuChateau, Paul
103
1998
A class of nonlinear non-classical parabolic equations. Zbl 0702.35120
Cannon, John R.; Yin, Hong-Ming
103
1989
An inverse problem of finding a parameter in a semi-linear heat equation. Zbl 0727.35137
Cannon, J. R.; Lin, Yanping
93
1990
Determination of an unknown heat source from overspecified boundary data. Zbl 0176.15403
Cannon, J. R.
87
1968
Determination of source parameter in parabolic equations. Zbl 0767.35105
Cannon, J. R.; Lin, Yanping; Wang, Shingmin
85
1992
A priori \(L^ 2\) error estimates for finite-element methods for nonlinear diffusion equations with memory. Zbl 0709.65122
Cannon, J. R.; Lin, Yanping
72
1990
Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Zbl 0805.65133
Cannon, J. R.; Lin, Yanping; Xu, Shuzhan
69
1994
A Galerkin procedure for the diffusion equation subject to the specification of mass. Zbl 0677.65108
Cannon, John R.; Perez Esteva, Salvador; Van der Hoek, John
63
1987
Diffusion subject to the specification of mass. Zbl 0602.35048
Cannon, John R.; van der Hoek, John
62
1986
The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059
Cannon, J. R.; DiBenedetto, Emmanuele
62
1980
Determination of a parameter p(t) in some quasi-linear parabolic differential equations. Zbl 0697.35162
Cannon, John R.; Lin, Yanping
59
1988
Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations. Zbl 0685.65124
Cannon, J. R.; Lin, Y.
53
1988
A Cauchy problem for the heat equation. Zbl 0168.36002
Cannon, J. R.
49
1964
Existence, uniqueness, stability, and monotone dependence in a Stefan problem for the heat equation. Zbl 0154.36403
Cannon, J. R.; Hill, C. D.
46
1967
Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Zbl 0688.35104
Cannon, J. R.; Lin, Yanping
45
1988
Numerical solutions of some parabolic inverse problems. Zbl 0709.65105
Cannon, John R.; Yin, Hong-Ming
45
1990
The Cauchy problem for the heat equations. Zbl 0154.36502
Cannon, J. R.; Douglas, Jim jun.
42
1967
Determination of a control parameter in a parabolic partial differential equation. Zbl 0767.93047
Cannon, J. R.; Lin, Yanping; Wang, Shingmin
42
1991
On diffusion in a fractured medium. Zbl 0266.35002
Cannon, J. R.; Meyer, G. H.
38
1971
The solution of the diffusion equation in two space variables subject to the specification of mass. Zbl 0795.35137
Cannon, John R.; Lin, Yanping; Matheson, Alec
37
1993
Parameter determination in parabolic partial differential equations from overspecified boundary data. Zbl 0485.35083
Cannon, John R.; Zachmann, David
36
1982
An implicit finite difference scheme for the diffusion equation subject to mass specification. Zbl 0721.65046
Cannon, John R.; Lin, Yanping; Wang, Shingmin
36
1990
Sinc-Galerkin method for solving linear sixth-order boundary-value problems. Zbl 1054.65085
El-Gamel, Mohamed; Cannon, John R.; Zayed, Ahmed I.
35
2004
An inverse problem for a nonlinear diffusion equation. Zbl 0452.35112
Cannon, J. R.; DuChateau, Paul
34
1980
Determination of an unknown coefficient in a parabolic differential equation. Zbl 0117.06901
Cannon, J. R.
29
1963
Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024
Vajravelu, K.; Cannon, J. R.
29
2006
A numerical procedure for diffusion subject to the specification of mass. Zbl 0773.65069
Cannon, John R.; Matheson, Alec L.
28
1993
An inverse problem for the heat equation. Zbl 0624.35078
Cannon, John Rozier; Pérez Esteva, Salvador
26
1986
Determining unknown coefficients in a non-linear heat conducting problem. Zbl 0252.35034
Cannon, J. R.; DuChateau, Paul
23
1973
Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary. Zbl 0221.35035
Cannon, J. R.; Primicerio, Mario
22
1971
Uniqueness and stability of 3D heat sources. Zbl 0729.35144
Cannon, J. R.; Pérez-Esteva, Salvador
22
1991
A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111
Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping
21
1999
On the movement of a chemical reaction interface. Zbl 0209.12802
Cannon, J. R.; Hill, C. D.
20
1970
Determination of certain parameters in heat conduction problems. Zbl 0131.32104
Cannon, J. R.
20
1964
A priori estimate for continuation of the solution of the heat equation in the space variable. Zbl 0131.32202
Cannon, J. R.
20
1964
A two phase Stefan problem with temperature boundary conditions. Zbl 0219.35046
Cannon, J. R.; Primicerio, Mario
20
1971
On the phase Stefan problem subject to the specification of energy. Zbl 0508.35074
Cannon, John R.; Van der Hoek, John
19
1982
An inverse problem for an unknown source term in a wave equation. Zbl 0518.35081
Cannon, J. R.; Duchateau, P.
19
1983
Determination of an unknown forcing function in a hyperbolic equation from overspecified data. Zbl 0212.12701
Cannon, J. R.; Dunninger, D. R.
19
1970
A Dirichlet problem for an equation of mixed type with a discontinuous coefficient. Zbl 0116.29903
Cannon, J. R.
19
1963
A multi-boundary Stefan problem and the disappearance of phase. Zbl 0154.36501
Cannon, J. R.; Douglas, Jim jun.; Hill, C. D.
19
1967
A Galerkin procedure for diffusion equations with boundary integral conditions. Zbl 0721.65054
Cannon, John R.; Lin, Yanping
18
1990
On a class of nonlinear parabolic equations with nonlinear trace type functionals. Zbl 0735.35078
Cannon, John R.; Yin, Hongming
18
1991
Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162
Cannon, John R.; Rundell, William
18
1991
A two phase Stefan problem with flux boundary conditions. Zbl 0219.35047
Cannon, J. R.; Primicerio, Mario
17
1971
Classical solutions of the one-dimensional, two-phase Stefan problem. Zbl 0319.35043
Cannon, John R.; Henry, Daniel B.; Kotlow, Daniel B.
17
1976
On the existence of weak-solutions to an \(n\)-dimensional Stefan problem with nonlinear boundary conditions. Zbl 0459.35090
Cannon, J. R.; DiBenedetto, Emmanuele
17
1980
The stability of the boundary in a Stefan problem. Zbl 0154.36402
Cannon, J. R.; Douglas, Jim jun.
16
1967
On the observability and stability of the temperature distribution in a composite heat conductor. Zbl 0236.35026
Cannon, J. R.; Klein, R. E.
16
1973
An inverse problem for an unknown source in a heat equation. Zbl 0448.35085
Cannon, J. R.; DuChateau, P.
16
1980
A note on the Cauchy problem for the Navier-Stokes equations. Zbl 0202.37203
Cannon, J. R.; Knightly, G. H.
16
1970
Remarks on a Stefan problem. Zbl 0153.14301
Cannon, J. R.; Hill, C. D.
15
1967
A numerical method for a nonlocal elliptic boundary value problem. Zbl 1149.65099
Cannon, J. R.; Galiffa, D. J.
14
2008
On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem. Zbl 1236.34028
Cannon, John R.; Galiffa, Daniel J.
13
2011
Finite element methods for Sobolev equations. Zbl 1064.65112
Liu, Tang; Lin, Yan-ping; Rao, Ming; Cannon, J. R.
13
2002
Some continuous dependence theorems for viscous fluid motions. Zbl 0202.37202
Cannon, J. R.; Knightly, G. H.
13
1970
Determination of the unknown coefficient \(k(u)\) in the equation \(\nabla\cdot k(u)\nabla u = 0\) from overspecified boundary data. Zbl 0151.15901
Cannon, J. R.
12
1967
Determination of a source term in a linear parabolic partial differential equation. Zbl 0323.35043
Cannon, J. R.; Ewing, Richard E.
12
1976
The classical solution of the one-dimensional two-phase Stefan problem with energy specification. Zbl 0493.35080
Cannon, John R.; van der Hoek, John
11
1982
A direct numerical procedure for the Cauchy problem for the heat equation. Zbl 0339.65050
Cannon, J. R.; Ewing, Richard E.
11
1976
Some problems in numerical analytic continuation. Zbl 0214.14805
Cannon, J. R.; Miller, Keith
11
1965
An inverse problem for an elliptic partial differential equation. Zbl 0638.35081
Cannon, John R.; Rundell, William
10
1987
The existence of and a continuous dependence result for the solution of the heat equation subject to the specification of energy. Zbl 0538.35038
Cannon, John R.; van der Hoek, John
10
1981
The one-phase Stefan problem for the heat equation with boundary temperature specification. Zbl 0212.44303
Cannon, J. R.; Hill, C. D.; Primicerio, Mario
10
1970
Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1201.34048
Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; Cannon, J. R.; van Gorder, Robert A.
9
2010
On the infinite differentiability of the free boundary in a Stefan problem. Zbl 0167.10504
Cannon, J. R.; Hill, C. Denson
9
1968
Continuous differentiability of the free boundary for weak solutions of the Stefan problem. Zbl 0278.35054
Cannon, John R.; Henry, Daniel B.; Kotlow, Daniel B.
9
1974
Nonlinear convection at a porous flat plate with application to heat transfer from a dike. Zbl 1053.76064
Vajravelu, K.; Cannon, J. R.; Leto, J.; Semmoum, R.; Nathan, S.; Draper, M.; Hammock, D.
9
2003
On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem. Zbl 0678.35095
Cannon, John R.; Yin, Hong-Ming
8
1988
Error estimates for some unstable continuation problems. Zbl 0134.08501
Cannon, J. R.
8
1964
A uniqueness theorem for a class on nonlinear parabolic inverse problems. Zbl 0697.35068
Cannon, John R.; Yin, Hongming
8
1988
Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations. Zbl 0709.65121
Cannon, J. R.; Lin, Yanping; Xie, Chongyuan
8
1989
The steady state Stefan problem with convection. Zbl 0436.76056
Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H.
8
1980
Determination of the coefficient of \(u_ x\) in a linear parabolic equation. Zbl 0803.35157
Cannon, John R.; Pérez-Esteva, Salvador
8
1994
The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117
Cannon, J. R.; DiBenedetto, E.; Knightly, G. H.
7
1983
Quasilinear parabolic systems. Zbl 0339.35050
Cannon, John R.
7
1976
A two phase Stefan problem: regularity of the free boundary. Zbl 0219.35048
Cannon, J. R.; Primicerio, Mario
7
1971
On the solution a of second order singularly-perturbed boundary value problem by the sinc-Galerkin method. Zbl 1058.65082
El-Gamel, Mohamed; Cannon, John R.
7
2005
Design of an experiment for the determination of an unknown coefficient in a nonlinear conduction-diffusion equation. Zbl 0645.35096
Cannon, J. R.; Duchateau, Paul
6
1987
Regularity at the boundary for solutions of linear parabolic differential equations. Zbl 0158.11603
Cannon, J. R.
6
1965
Boundary value multidimensional problems in fast chemical reactions. Zbl 0276.35061
Cannon, J. R.; Fasano, Antonio
6
1973
Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data. Zbl 0679.35056
Cannon, John R.; Lin, Yanping
5
1988
A parabolic integro-differential equation arising from thermoelastic contact. Zbl 0948.35067
Allegretto, W.; Cannon, John R.; Lin, Yanping
5
1997
An epidemiology model suggested by yellow fever. Zbl 1232.92056
Cannon, John R.; Galiffa, Daniel J.
5
2012
Galerkin procedures for systems of parabolic partial differential equations related to the transmission of nerve impulses. Zbl 0361.35006
Cannon, J. R.; Ewing, R. E.
5
1977
The numerical solution of the Dirichlet problem for Laplace’s equation by linear programming. Zbl 0221.65186
Cannon, J. R.
5
1964
The numerical solution of some biharmonic problems by mathematical programming techniques. Zbl 0255.65038
Cannon, J. R.; Cecchi, Maria M.
5
1966
On a class of nonlinear nonclassical parabolic equations. Zbl 1092.35040
Cannon, J. R.; Salman, M.
5
2006
Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation. Zbl 0715.35083
Cannon, J. R.; Pérez-Esteva, Salvador
5
1990
Smooth solutions for an integro-differential equation of parabolic type. Zbl 0719.45007
Cannon, John R.; Lin, Yanping
5
1989
An implicit finite difference scheme for the diffusion equation subject to the specification of mass in a portion of the domain. Zbl 0477.65072
Cannon, John R.; van der Hoek, John
4
1982
On solutions of some non-linear differential equations arising in third grade fluid flows. Zbl 1211.76015
Vajravelu, K.; Cannon, J. R.; Rollins, D.; Leto, J.
4
2002
The determination of unknown parameters in analytic systems of ordinary differential equations. Zbl 0251.34002
Cannon, J. R.; Filmer, D. L.
4
1967
Determination of the conductivity of an isotropic medium. Zbl 0295.35026
Cannon, J. R.; DuChateau, Paul
4
1974
The locations and strengths of point sources. Zbl 0315.31005
Cannon, J. R.; Ewing, R. E.
4
1975
A quasi-linear parabolic equation with nonlocal boundary condition. Zbl 0726.35065
Cannon, J. R.; Lin, Yanping; van der Hoek, J.
4
1990
On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046
Cannon, John R.; DiBenedetto, Emmanuele
4
1978
Free boundary problems in solidification of alloys. Zbl 0436.35079
Alexiades, Vasilios; Cannon, John R.
4
1980
Groups equal to a product of three conjugate subgroups. Zbl 1375.20020
Cannon, John; Garonzi, Martino; Levy, Dan; Maróti, Attila; Simion, Iulian I.
2
2016
An epidemiology model suggested by yellow fever. Zbl 1232.92056
Cannon, John R.; Galiffa, Daniel J.
5
2012
On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem. Zbl 1236.34028
Cannon, John R.; Galiffa, Daniel J.
13
2011
Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1201.34048
Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; Cannon, J. R.; van Gorder, Robert A.
9
2010
A numerical method for a nonlocal elliptic boundary value problem. Zbl 1149.65099
Cannon, J. R.; Galiffa, D. J.
14
2008
The one-dimensional heat equation. Foreword by Felix E. Browder. Paperback reprint of the 1984 edition. Zbl 1156.35001
Cannon, John Rozier
1
2008
Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024
Vajravelu, K.; Cannon, J. R.
29
2006
On a class of nonlinear nonclassical parabolic equations. Zbl 1092.35040
Cannon, J. R.; Salman, M.
5
2006
On the solution a of second order singularly-perturbed boundary value problem by the sinc-Galerkin method. Zbl 1058.65082
El-Gamel, Mohamed; Cannon, John R.
7
2005
The utilization of total mass to determine the switching points in the symmetric boundary control problem with a linear reaction term. Zbl 1160.74358
Cannon, J. R.; Salman, M.
1
2005
Sinc-Galerkin method for solving linear sixth-order boundary-value problems. Zbl 1054.65085
El-Gamel, Mohamed; Cannon, John R.; Zayed, Ahmed I.
35
2004
Nonlinear convection at a porous flat plate with application to heat transfer from a dike. Zbl 1053.76064
Vajravelu, K.; Cannon, J. R.; Leto, J.; Semmoum, R.; Nathan, S.; Draper, M.; Hammock, D.
9
2003
Finite element methods for Sobolev equations. Zbl 1064.65112
Liu, Tang; Lin, Yan-ping; Rao, Ming; Cannon, J. R.
13
2002
On solutions of some non-linear differential equations arising in third grade fluid flows. Zbl 1211.76015
Vajravelu, K.; Cannon, J. R.; Rollins, D.; Leto, J.
4
2002
Analytical and numerical solutions of nonlinear differential equations arising in non-Newtonian fluid flows. Zbl 0974.34017
Vajravelu, K.; Cannon, J. R.; Rollins, D.
3
2000
A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111
Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping
21
1999
Structural identification of an unknown source term in a heat equation. Zbl 0917.35156
Cannon, J. R.; DuChateau, Paul
103
1998
A parabolic integro-differential equation arising from thermoelastic contact. Zbl 0948.35067
Allegretto, W.; Cannon, John R.; Lin, Yanping
5
1997
Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Zbl 0805.65133
Cannon, J. R.; Lin, Yanping; Xu, Shuzhan
69
1994
Determination of the coefficient of \(u_ x\) in a linear parabolic equation. Zbl 0803.35157
Cannon, John R.; Pérez-Esteva, Salvador
8
1994
The solution of the diffusion equation in two space variables subject to the specification of mass. Zbl 0795.35137
Cannon, John R.; Lin, Yanping; Matheson, Alec
37
1993
A numerical procedure for diffusion subject to the specification of mass. Zbl 0773.65069
Cannon, John R.; Matheson, Alec L.
28
1993
Indirect determination of hydraulic properties of porous media. Zbl 0805.76078
Cannon, J. R.; DuChateau, Paul
1
1993
Determination of source parameter in parabolic equations. Zbl 0767.35105
Cannon, J. R.; Lin, Yanping; Wang, Shingmin
85
1992
Identifying a time dependent unknown coefficient in a nonlinear heat equation. Zbl 0782.35084
Cannon, J. R.; DuChateau, Paul; Steube, Ken
1
1992
Determination of a control parameter in a parabolic partial differential equation. Zbl 0767.93047
Cannon, J. R.; Lin, Yanping; Wang, Shingmin
42
1991
Uniqueness and stability of 3D heat sources. Zbl 0729.35144
Cannon, J. R.; Pérez-Esteva, Salvador
22
1991
On a class of nonlinear parabolic equations with nonlinear trace type functionals. Zbl 0735.35078
Cannon, John R.; Yin, Hongming
18
1991
Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162
Cannon, John R.; Rundell, William
18
1991
A remark on the solvability for nonlinear parabolic integro-differential equations in one-dimensional spaces. Zbl 0749.45010
Cannon, J. R.; Lin, Yanping
1
1991
An inverse problem of finding a parameter in a semi-linear heat equation. Zbl 0727.35137
Cannon, J. R.; Lin, Yanping
93
1990
A priori \(L^ 2\) error estimates for finite-element methods for nonlinear diffusion equations with memory. Zbl 0709.65122
Cannon, J. R.; Lin, Yanping
72
1990
Numerical solutions of some parabolic inverse problems. Zbl 0709.65105
Cannon, John R.; Yin, Hong-Ming
45
1990
An implicit finite difference scheme for the diffusion equation subject to mass specification. Zbl 0721.65046
Cannon, John R.; Lin, Yanping; Wang, Shingmin
36
1990
A Galerkin procedure for diffusion equations with boundary integral conditions. Zbl 0721.65054
Cannon, John R.; Lin, Yanping
18
1990
Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation. Zbl 0715.35083
Cannon, J. R.; Pérez-Esteva, Salvador
5
1990
A quasi-linear parabolic equation with nonlocal boundary condition. Zbl 0726.35065
Cannon, J. R.; Lin, Yanping; van der Hoek, J.
4
1990
A periodic free boundary problem arising in some diffusion chemical reaction processes. Zbl 0723.35085
Cannon, John R.; Yin, Hong-Ming
3
1990
Unknown ingredient inverse problems and trace-type functional differential equations. Zbl 0715.35084
Cannon, J. R.; DuChateau, Paul; Steube, Ken
2
1990
A class of nonlinear non-classical parabolic equations. Zbl 0702.35120
Cannon, John R.; Yin, Hong-Ming
103
1989
Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations. Zbl 0709.65121
Cannon, J. R.; Lin, Yanping; Xie, Chongyuan
8
1989
Smooth solutions for an integro-differential equation of parabolic type. Zbl 0719.45007
Cannon, John R.; Lin, Yanping
5
1989
On the rainfall infiltration through a soil medium. Zbl 0684.35090
Cannon, John R.; Guenther, Ronald B.; Mohamed, Fouad A.
1
1989
A multifree boundary problem arising in the theory of liquid flow in a porous medium. Zbl 0695.76046
Cannon, John R.; Mohamed, Fouad A.
1
1989
Determination of a parameter p(t) in some quasi-linear parabolic differential equations. Zbl 0697.35162
Cannon, John R.; Lin, Yanping
59
1988
Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations. Zbl 0685.65124
Cannon, J. R.; Lin, Y.
53
1988
Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Zbl 0688.35104
Cannon, J. R.; Lin, Yanping
45
1988
On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem. Zbl 0678.35095
Cannon, John R.; Yin, Hong-Ming
8
1988
A uniqueness theorem for a class on nonlinear parabolic inverse problems. Zbl 0697.35068
Cannon, John R.; Yin, Hongming
8
1988
Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data. Zbl 0679.35056
Cannon, John R.; Lin, Yanping
5
1988
A Galerkin procedure for the diffusion equation subject to the specification of mass. Zbl 0677.65108
Cannon, John R.; Perez Esteva, Salvador; Van der Hoek, John
63
1987
An inverse problem for an elliptic partial differential equation. Zbl 0638.35081
Cannon, John R.; Rundell, William
10
1987
Design of an experiment for the determination of an unknown coefficient in a nonlinear conduction-diffusion equation. Zbl 0645.35096
Cannon, J. R.; Duchateau, Paul
6
1987
Diffusion subject to the specification of mass. Zbl 0602.35048
Cannon, John R.; van der Hoek, John
62
1986
An inverse problem for the heat equation. Zbl 0624.35078
Cannon, John Rozier; Pérez Esteva, Salvador
26
1986
Inverse problems. Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest (Germany), May 18-24, 1986. Zbl 0593.00010
1
1986
Determination of a source term in a linear parabolic differential equation with mixed boundary conditions. Zbl 0613.35032
Cannon, John R.; Lin, Yanping
1
1986
A free boundary-value problem related to the combustion of a solid. Zbl 0585.35085
Cannon, John R.; Cavendish, James C.; Fasano, Antonio
3
1985
The one-dimensional heat equation. Foreword by Felix E. Browder. Zbl 0567.35001
Cannon, John Rozier
168
1984
An inverse problem for an unknown source term in a wave equation. Zbl 0518.35081
Cannon, J. R.; Duchateau, P.
19
1983
The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117
Cannon, J. R.; DiBenedetto, E.; Knightly, G. H.
7
1983
Parameter determination in parabolic partial differential equations from overspecified boundary data. Zbl 0485.35083
Cannon, John R.; Zachmann, David
36
1982
On the phase Stefan problem subject to the specification of energy. Zbl 0508.35074
Cannon, John R.; Van der Hoek, John
19
1982
The classical solution of the one-dimensional two-phase Stefan problem with energy specification. Zbl 0493.35080
Cannon, John R.; van der Hoek, John
11
1982
An implicit finite difference scheme for the diffusion equation subject to the specification of mass in a portion of the domain. Zbl 0477.65072
Cannon, John R.; van der Hoek, John
4
1982
The existence of and a continuous dependence result for the solution of the heat equation subject to the specification of energy. Zbl 0538.35038
Cannon, John R.; van der Hoek, John
10
1981
The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059
Cannon, J. R.; DiBenedetto, Emmanuele
62
1980
An inverse problem for a nonlinear diffusion equation. Zbl 0452.35112
Cannon, J. R.; DuChateau, Paul
34
1980
On the existence of weak-solutions to an \(n\)-dimensional Stefan problem with nonlinear boundary conditions. Zbl 0459.35090
Cannon, J. R.; DiBenedetto, Emmanuele
17
1980
An inverse problem for an unknown source in a heat equation. Zbl 0448.35085
Cannon, J. R.; DuChateau, P.
16
1980
The steady state Stefan problem with convection. Zbl 0436.76056
Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H.
8
1980
Free boundary problems in solidification of alloys. Zbl 0436.35079
Alexiades, Vasilios; Cannon, John R.
4
1980
A Galerkin procedure for systems of differential equations. Zbl 0463.65071
Cannon, J. R.; Ewing, R. E.
1
1980
On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046
Cannon, John R.; DiBenedetto, Emmanuele
4
1978
Multiphase parabolic free boundary value problems. Zbl 0456.35092
Cannon, J. R.
1
1978
Galerkin procedures for systems of parabolic partial differential equations related to the transmission of nerve impulses. Zbl 0361.35006
Cannon, J. R.; Ewing, R. E.
5
1977
A nonlinear parabolic free boundary problem. Zbl 0348.35055
Cannon, John R.; Fasano, Antonio
3
1977
On the stability of the temperature distribution in a composite heat conductor. Zbl 0351.35048
Cannon, J. R.; Ewing, Richard E.
2
1977
A coupled nonlinear hyperbolic-parabolic system. Zbl 0355.35063
Cannon, J. R.; Ewing, Richard E.
2
1977
Approximating the solution to the Cauchy problem for Laplace’s equation. Zbl 0366.65053
Cannon, J. R.; DuChateau, P.
1
1977
Classical solutions of the one-dimensional, two-phase Stefan problem. Zbl 0319.35043
Cannon, John R.; Henry, Daniel B.; Kotlow, Daniel B.
17
1976
Determination of a source term in a linear parabolic partial differential equation. Zbl 0323.35043
Cannon, J. R.; Ewing, Richard E.
12
1976
A direct numerical procedure for the Cauchy problem for the heat equation. Zbl 0339.65050
Cannon, J. R.; Ewing, Richard E.
11
1976
Quasilinear parabolic systems. Zbl 0339.35050
Cannon, John R.
7
1976
The locations and strengths of point sources. Zbl 0315.31005
Cannon, J. R.; Ewing, R. E.
4
1975
A class of inverse problems: The determination of second order elliptic partial differential operators from over-specified boundary data. Zbl 0327.35071
Cannon, J. R.
2
1975
Continuous differentiability of the free boundary for weak solutions of the Stefan problem. Zbl 0278.35054
Cannon, John R.; Henry, Daniel B.; Kotlow, Daniel B.
9
1974
Determination of the conductivity of an isotropic medium. Zbl 0295.35026
Cannon, J. R.; DuChateau, Paul
4
1974
Determining unknown coefficients in a non-linear heat conducting problem. Zbl 0252.35034
Cannon, J. R.; DuChateau, Paul
23
1973
On the observability and stability of the temperature distribution in a composite heat conductor. Zbl 0236.35026
Cannon, J. R.; Klein, R. E.
16
1973
Boundary value multidimensional problems in fast chemical reactions. Zbl 0276.35061
Cannon, J. R.; Fasano, Antonio
6
1973
A Stefan problem involving the appearance of a phase. Zbl 0224.35044
Cannon, J. R.; Primicerio, Mario
1
1973
On diffusion in a fractured medium. Zbl 0266.35002
Cannon, J. R.; Meyer, G. H.
38
1971
Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary. Zbl 0221.35035
Cannon, J. R.; Primicerio, Mario
22
1971
A two phase Stefan problem with temperature boundary conditions. Zbl 0219.35046
Cannon, J. R.; Primicerio, Mario
20
1971
A two phase Stefan problem with flux boundary conditions. Zbl 0219.35047
Cannon, J. R.; Primicerio, Mario
17
1971
A two phase Stefan problem: regularity of the free boundary. Zbl 0219.35048
Cannon, J. R.; Primicerio, Mario
7
1971
On the movement of a chemical reaction interface. Zbl 0209.12802
Cannon, J. R.; Hill, C. D.
20
1970
Determination of an unknown forcing function in a hyperbolic equation from overspecified data. Zbl 0212.12701
Cannon, J. R.; Dunninger, D. R.
19
1970
A note on the Cauchy problem for the Navier-Stokes equations. Zbl 0202.37203
Cannon, J. R.; Knightly, G. H.
16
1970
...and 31 more Documents
all top 5

Cited by 1,910 Authors

61 Dehghan Takht Fooladi, Mehdi
45 Cannon, John Rozier
38 Lesnic, Daniel
25 Tarzia, Domingo Alberto
24 Fu, Chuli
21 Yang, Fan
21 Yang, Liu
20 Deng, Zuicha
18 Lin, Yanping
17 Kanca, Fatma
17 Shidfar, Abdollah
16 Ismailov, Mansur I.
15 Primicerio, Mario
14 Jódar Sanchez, Lucas Antonio
14 Pani, Amiya Kumar
13 Denisov, Alexander Mikhailovich
13 Kamynin, Vitaly Leonidovich
12 Fasano, Antonio
12 Hasanoǧlu, Alemdar
12 Li, Xiaoxiao
12 Vajravelu, Kuppalapalle
11 Briozzo, Adriana C.
11 Huntul, Mousa J.
11 Johansson, B. Tomas
11 Yin, Hongming
10 Ashyralyev, Allaberen
10 Baglan, Irem Sakinc
10 El-Gamel, Mohamed
10 Pourgholi, Reza
10 van Gorder, Robert Ashton
9 Aydemir, Kadriye
9 Mukhtarov, Oktay Sh.
9 Rundell, William
9 Yamamoto, Masahiro
9 Yu, Jianning
8 Abdulla, Ugur G.
8 Erdogan, Abdullah Said
8 Fatullayev, Afet Golayoglu
8 Galdi, Giovanni Paolo
8 Hou, Tianliang
8 Mesloub, Said
8 Sabitov, Kamil’ Basirovich
8 Shivanian, Elyas
8 Showalter, Ralph E.
8 Tamilselvan, Ayyadurai
7 Abbasbandy, Saeid
7 Boulaaras, Salah Mahmoud
7 Čiegis, Raimondas
7 Hamdi, Adel
7 He, Yinnian
7 Li, Dongfang
7 Li, Gongsheng
7 Luo, Zhendong
7 Sapagovas, Mifodijus
7 Shi, Dongyang
7 Štikonas, Artūras
7 Taki-Eddine, Oussaeif
7 Zhang, Shuhua
6 Ahmad, Bashir
6 Al-saedi, Ahmed Eid Salem
6 Demir, Ali
6 DiBenedetto, Emmanuele
6 Ewing, Richard Edward
6 Hussein, Mohammed S.
6 Kozhanov, Aleksandr Ivanovich
6 Lancia, Maria Rosaria
6 Liu, Chein-Shan
6 Liu, Jijun
6 Luo, Guanwei
6 Mehraliyev, Yashar T.
6 Ozbilge, Ebru
6 Roscani, Sabrina D.
6 Slodička, Marián
6 Tatari, Mehdi
6 Yousefi, Sohrab Ali
5 Aida-Zade, Kamil Rajab
5 Ang, Whyeteong
5 Cao, Kai
5 Dai, Daoqing
5 Damirchi, Javad
5 De Angelis, Monica
5 Gimaltdinova, Alfira Avkalevna
5 Huang, Yu
5 Kian, Yavar
5 Knabner, Peter
5 Kostin, Andrey B.
5 Mohan, Manil Thankamani
5 Nicaise, Serge
5 Pany, Ambit Kumar
5 Rashedi, Kamal
5 Reddy, Gujji Murali Mohan
5 Rionero, Salvatore
5 Shidfar, Abdullah
5 Tamsir, Mohammad
5 Trong, Dang Duc
5 Wen, Jin
5 Xu, Xiangsheng
5 Yadav, Sangita
5 Yan, Liang
5 Yang, Fenglian
...and 1,810 more Authors
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Cited in 344 Serials

108 Applied Mathematics and Computation
74 Journal of Mathematical Analysis and Applications
57 Inverse Problems in Science and Engineering
47 Computers & Mathematics with Applications
46 Journal of Computational and Applied Mathematics
39 Applicable Analysis
32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Mathematical Methods in the Applied Sciences
30 Journal of Differential Equations
27 International Journal of Computer Mathematics
27 Journal of Inverse and Ill-Posed Problems
25 Annali di Matematica Pura ed Applicata. Serie Quarta
24 Applied Numerical Mathematics
23 Applied Mathematical Modelling
23 Differential Equations
22 Boundary Value Problems
21 Numerical Methods for Partial Differential Equations
19 Archive for Rational Mechanics and Analysis
17 Applied Mathematics Letters
17 Abstract and Applied Analysis
17 Nonlinear Analysis. Theory, Methods & Applications
16 Computational and Applied Mathematics
16 Engineering Analysis with Boundary Elements
16 Advances in Difference Equations
15 Journal of Applied Mathematics and Computing
14 Mathematical and Computer Modelling
14 Journal of Scientific Computing
14 Nonlinear Analysis. Real World Applications
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Mathematical Problems in Engineering
13 Journal of Inequalities and Applications
12 International Journal of Engineering Science
12 Computational Mathematics and Mathematical Physics
11 Ukrainian Mathematical Journal
11 Mathematics and Computers in Simulation
11 Numerische Mathematik
11 Mathematical Modelling and Analysis
11 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya
10 Inverse Problems
10 Meccanica
10 Acta Applicandae Mathematicae
10 Numerical Algorithms
10 Communications in Nonlinear Science and Numerical Simulation
9 Calcolo
9 Numerical Functional Analysis and Optimization
9 Russian Mathematics
9 Journal of Mathematical Sciences (New York)
9 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
8 Lithuanian Mathematical Journal
8 Applied Mathematics and Optimization
8 Journal of Function Spaces
8 AIMS Mathematics
7 Journal of Computational Physics
7 Journal of Engineering Mathematics
7 Mathematical Notes
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 Acta Mathematicae Applicatae Sinica. English Series
7 Applications of Mathematics
7 Fractional Calculus & Applied Analysis
7 International Journal of Computational Methods
6 International Journal of Heat and Mass Transfer
6 Mathematics of Computation
6 Chaos, Solitons and Fractals
6 Journal of Integral Equations and Applications
6 Computational Mathematics and Modeling
6 SIAM Journal on Mathematical Analysis
6 Filomat
6 Journal of Applied Mathematics
6 Discrete and Continuous Dynamical Systems. Series S
6 International Journal of Applied and Computational Mathematics
6 Open Mathematics
5 Computer Methods in Applied Mechanics and Engineering
5 Quarterly of Applied Mathematics
5 Rendiconti del Seminario Matematico della Università di Padova
5 Siberian Mathematical Journal
5 Zeitschrift für Analysis und ihre Anwendungen
5 Communications in Partial Differential Equations
5 Journal of Mathematical Fluid Mechanics
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Inverse Problems and Imaging
5 Advances in Applied Mathematics and Mechanics
4 Computer Physics Communications
4 Nonlinearity
4 Journal of Optimization Theory and Applications
4 Proceedings of the American Mathematical Society
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Transactions of the American Mathematical Society
4 Physica D
4 Japan Journal of Applied Mathematics
4 Japan Journal of Industrial and Applied Mathematics
4 Applied Mathematics. Series B (English Edition)
4 International Journal of Numerical Methods for Heat & Fluid Flow
4 Turkish Journal of Mathematics
4 Advances in Computational Mathematics
4 Journal of Mathematical Chemistry
4 Nonlinear Analysis. Modelling and Control
4 Journal of Evolution Equations
4 Discrete and Continuous Dynamical Systems. Series B
4 Differential Equations and Applications
4 Advances in Mathematical Physics
...and 244 more Serials
all top 5

Cited in 44 Fields

1,254 Partial differential equations (35-XX)
743 Numerical analysis (65-XX)
232 Fluid mechanics (76-XX)
176 Classical thermodynamics, heat transfer (80-XX)
132 Ordinary differential equations (34-XX)
112 Integral equations (45-XX)
78 Operator theory (47-XX)
57 Calculus of variations and optimal control; optimization (49-XX)
42 Biology and other natural sciences (92-XX)
39 Mechanics of deformable solids (74-XX)
37 Probability theory and stochastic processes (60-XX)
33 Systems theory; control (93-XX)
24 Real functions (26-XX)
19 Potential theory (31-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Statistical mechanics, structure of matter (82-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Geophysics (86-XX)
12 Approximations and expansions (41-XX)
10 Optics, electromagnetic theory (78-XX)
9 Measure and integration (28-XX)
9 Functions of a complex variable (30-XX)
9 Functional analysis (46-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Computer science (68-XX)
8 Operations research, mathematical programming (90-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Special functions (33-XX)
4 Integral transforms, operational calculus (44-XX)
4 Statistics (62-XX)
4 Mechanics of particles and systems (70-XX)
3 Number theory (11-XX)
3 Difference and functional equations (39-XX)
3 Differential geometry (53-XX)
3 Information and communication theory, circuits (94-XX)
1 Combinatorics (05-XX)
1 Associative rings and algebras (16-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)

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