Edit Profile (opens in new tab) Cannon, John Rozier Co-Author Distance Author ID: cannon.john-rozier Published as: Cannon, J. R.; Cannon, John R.; Cannon, John Rozier; Cannon, J.; Cannon, John more...less 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 1,223 Co-Co-Authors all top 5 Co-Authors 21 single-authored 24 Lin, Yanping 16 DuChateau, Paul C. 9 Ewing, Richard Edward 8 Hill, C. Denson 8 Yin, Hongming 7 Pérez-Esteva, Salvador 7 van der Hoek, John 6 Douglas, Jim jun. 6 Knightly, George H. 6 Primicerio, Mario 6 Vajravelu, Kuppalapalle 5 DiBenedetto, Emmanuele 4 Galiffa, Daniel Joseph 4 Matheson, Alec L. 4 Wang, Shingmin 3 Fasano, Antonio 3 Salman, Mohamed 2 Cavendish, James C. 2 El-Gamel, Mohamed 2 Filmer, D. L. 2 Henry, Daniel B. 2 Koebbe, Joseph V. 2 Kotlow, Daniel B. 2 Leto, J. 2 Mohamed, Fouad A. 2 Morandi Cecchi, Maria 2 Rundell, William 2 Steube, Ken 2 Xu, Shuzhan 2 Zayed, Ahmed I. 1 Alexiades, Vasilios 1 Allegretto, Walter 1 Behiry, S. H. 1 Browder, Felix Earl 1 Chou, Chung-Chiang 1 Dunninger, Dennis R. 1 Elwood, David M. 1 Garonzi, Martino 1 Guenther, Ronald B. 1 Halton, John H. 1 Hammock, D. 1 Hampton, Charles E. 1 Hashish, Hany 1 He, Yinnian 1 Hornung, Ulrich 1 Jones, B. Frank jun. 1 Klein, Richard E. 1 Levy, Dan 1 Liu, Tang 1 Maróti, Attila 1 Meyer, Gunter H. 1 Miller, Keith D. 1 Nathan, S. 1 Rao, Ming 1 Schmidt, Rita M. 1 Semmoum, R. 1 Shivamoggi, Bhimsen K. 1 Siginer, Dennis A. 1 Simion, Iulian Ion 1 Strauss, Monty J. 1 van Gorder, Robert Ashton 1 Xie, Chongyuan 1 Zachmann, David W. 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 all top 5 Fields 112 Partial differential equations (35-XX) 36 Numerical analysis (65-XX) 19 Fluid mechanics (76-XX) 14 Integral equations (45-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 3,229 times in 2,029 Documents Cited by ▼ Year ▼ The one-dimensional heat equation. Foreword by Felix E. Browder. Zbl 0567.35001 Cannon, John Rozier 362 1984 The solution of the heat equation subject to the specification of energy. Zbl 0173.38404 Cannon, J. R. 236 1964 The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059 Cannon, J. R.; DiBenedetto, Emmanuele 136 1980 A class of nonlinear non-classical parabolic equations. Zbl 0702.35120 Cannon, John R.; Yin, Hong-Ming 111 1989 Structural identification of an unknown source term in a heat equation. Zbl 0917.35156 Cannon, J. R.; DuChateau, Paul 108 1998 Determination of an unknown heat source from overspecified boundary data. Zbl 0176.15403 Cannon, J. R. 96 1968 An inverse problem of finding a parameter in a semi-linear heat equation. Zbl 0727.35137 Cannon, J. R.; Lin, Yanping 96 1990 Determination of source parameter in parabolic equations. Zbl 0767.35105 Cannon, J. R.; Lin, Yanping; Wang, Shingmin 88 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 82 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 71 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 69 1987 Diffusion subject to the specification of mass. Zbl 0602.35048 Cannon, John R.; van der Hoek, John 67 1986 Determination of a parameter p(t) in some quasi-linear parabolic differential equations. Zbl 0697.35162 Cannon, John R.; Lin, Yanping 66 1988 Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations. Zbl 0685.65124 Cannon, J. R.; Lin, Y. 61 1988 A Cauchy problem for the heat equation. Zbl 0168.36002 Cannon, J. R. 50 1964 Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Zbl 0688.35104 Cannon, J. R.; Lin, Yanping 47 1988 Existence, uniqueness, stability, and monotone dependence in a Stefan problem for the heat equation. Zbl 0154.36403 Cannon, J. R.; Hill, C. D. 47 1967 Determination of a control parameter in a parabolic partial differential equation. Zbl 0767.93047 Cannon, J. R.; Lin, Yanping; Wang, Shingmin 46 1991 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. 43 1967 Parameter determination in parabolic partial differential equations from overspecified boundary data. Zbl 0485.35083 Cannon, John R.; Zachmann, David 42 1982 On diffusion in a fractured medium. Zbl 0266.35002 Cannon, J. R.; Meyer, G. H. 42 1971 An implicit finite difference scheme for the diffusion equation subject to mass specification. Zbl 0721.65046 Cannon, John R.; Lin, Yanping; Wang, Shingmin 39 1990 An inverse problem for a nonlinear diffusion equation. Zbl 0452.35112 Cannon, J. R.; DuChateau, Paul 38 1980 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 Sinc-Galerkin method for solving linear sixth-order boundary-value problems. Zbl 1054.65085 El-Gamel, Mohamed; Cannon, John R.; Zayed, Ahmed I. 37 2004 Determination of an unknown coefficient in a parabolic differential equation. Zbl 0117.06901 Cannon, J. R. 34 1963 Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024 Vajravelu, K.; Cannon, J. R. 33 2006 A numerical procedure for diffusion subject to the specification of mass. Zbl 0773.65069 Cannon, John R.; Matheson, Alec L. 30 1993 An inverse problem for the heat equation. Zbl 0624.35078 Cannon, John Rozier; Pérez Esteva, Salvador 30 1986 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 25 1982 Determining unknown coefficients in a non-linear heat conducting problem. Zbl 0252.35034 Cannon, J. R.; DuChateau, Paul 25 1973 Determination of certain parameters in heat conduction problems. Zbl 0131.32104 Cannon, J. R. 24 1964 An inverse problem for an unknown source term in a wave equation. Zbl 0518.35081 Cannon, J. R.; Duchateau, P. 23 1983 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 23 1971 A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111 Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping 23 1999 On a class of nonlinear parabolic equations with nonlinear trace type functionals. Zbl 0735.35078 Cannon, John R.; Yin, Hongming 22 1991 A two phase Stefan problem with temperature boundary conditions. Zbl 0219.35046 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 On the phase Stefan problem subject to the specification of energy. Zbl 0508.35074 Cannon, John R.; Van der Hoek, John 21 1982 A Dirichlet problem for an equation of mixed type with a discontinuous coefficient. Zbl 0116.29903 Cannon, J. R. 21 1963 A Galerkin procedure for diffusion equations with boundary integral conditions. Zbl 0721.65054 Cannon, John R.; Lin, Yanping 21 1990 Classical solutions of the one-dimensional, two-phase Stefan problem. Zbl 0319.35043 Cannon, John R.; Henry, Daniel B.; Kotlow, Daniel B. 20 1976 A multi-boundary Stefan problem and the disappearance of phase. Zbl 0154.36501 Cannon, J. R.; Douglas, Jim jun.; Hill, C. D. 20 1967 Determination of an unknown forcing function in a hyperbolic equation from overspecified data. Zbl 0212.12701 Cannon, J. R.; Dunninger, D. R. 20 1970 On the movement of a chemical reaction interface. Zbl 0209.12802 Cannon, J. R.; Hill, C. D. 20 1970 A priori estimate for continuation of the solution of the heat equation in the space variable. Zbl 0131.32202 Cannon, J. R. 20 1964 On the existence of weak-solutions to an \(n\)-dimensional Stefan problem with nonlinear boundary conditions. Zbl 0459.35090 Cannon, J. R.; DiBenedetto, Emmanuele 19 1980 Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162 Cannon, John R.; Rundell, William 19 1991 A two phase Stefan problem with flux boundary conditions. Zbl 0219.35047 Cannon, J. R.; Primicerio, Mario 19 1971 An inverse problem for an unknown source in a heat equation. Zbl 0448.35085 Cannon, J. R.; DuChateau, P. 18 1980 Remarks on a Stefan problem. Zbl 0153.14301 Cannon, J. R.; Hill, C. D. 17 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 The stability of the boundary in a Stefan problem. Zbl 0154.36402 Cannon, J. R.; Douglas, Jim jun. 16 1967 A note on the Cauchy problem for the Navier-Stokes equations. Zbl 0202.37203 Cannon, J. R.; Knightly, G. H. 16 1970 Some continuous dependence theorems for viscous fluid motions. Zbl 0202.37202 Cannon, J. R.; Knightly, G. H. 15 1970 A numerical method for a nonlocal elliptic boundary value problem. Zbl 1149.65099 Cannon, J. R.; Galiffa, D. J. 14 2008 The classical solution of the one-dimensional two-phase Stefan problem with energy specification. Zbl 0493.35080 Cannon, John R.; van der Hoek, John 13 1982 Finite element methods for Sobolev equations. Zbl 1064.65112 Liu, Tang; Lin, Yan-ping; Rao, Ming; Cannon, J. R. 13 2002 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. 13 1967 On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem. Zbl 1236.34028 Cannon, John R.; Galiffa, Daniel J. 13 2011 Determination of a source term in a linear parabolic partial differential equation. Zbl 0323.35043 Cannon, J. R.; Ewing, Richard E. 12 1976 An inverse problem for an elliptic partial differential equation. Zbl 0638.35081 Cannon, John R.; Rundell, William 12 1987 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 Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations. Zbl 0709.65121 Cannon, J. R.; Lin, Yanping; Xie, Chongyuan 11 1989 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 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 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 A uniqueness theorem for a class on nonlinear parabolic inverse problems. Zbl 0697.35068 Cannon, John R.; Yin, Hongming 9 1988 On the infinite differentiability of the free boundary in a Stefan problem. Zbl 0167.10504 Cannon, J. R.; Hill, C. Denson 9 1968 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 Determination of the coefficient of \(u_ x\) in a linear parabolic equation. Zbl 0803.35157 Cannon, John R.; Pérez-Esteva, Salvador 8 1994 The steady state Stefan problem with convection. Zbl 0436.76056 Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H. 8 1980 A two phase Stefan problem: regularity of the free boundary. Zbl 0219.35048 Cannon, J. R.; Primicerio, Mario 8 1971 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 Quasilinear parabolic systems. Zbl 0339.35050 Cannon, John R. 7 1976 The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117 Cannon, J. R.; DiBenedetto, E.; Knightly, G. H. 7 1983 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 Boundary value multidimensional problems in fast chemical reactions. Zbl 0276.35061 Cannon, J. R.; Fasano, Antonio 6 1973 The locations and strengths of point sources. Zbl 0315.31005 Cannon, J. R.; Ewing, R. E. 6 1975 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 The irrotational solution of an elliptic differential equation with an unknown coefficient. Zbl 0117.07101 Cannon, J. R.; Halton, J. H. 6 1963 An epidemiology model suggested by yellow fever. Zbl 1232.92056 Cannon, John R.; Galiffa, Daniel J. 6 2012 On a class of nonlinear nonclassical parabolic equations. Zbl 1092.35040 Cannon, J. R.; Salman, M. 5 2006 A parabolic integro-differential equation arising from thermoelastic contact. Zbl 0948.35067 Allegretto, W.; Cannon, John R.; Lin, Yanping 5 1997 The numerical solution of some biharmonic problems by mathematical programming techniques. Zbl 0255.65038 Cannon, J. R.; Cecchi, Maria M. 5 1966 Determination of the conductivity of an isotropic medium. Zbl 0295.35026 Cannon, J. R.; DuChateau, Paul 5 1974 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 Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data. Zbl 0679.35056 Cannon, John R.; Lin, Yanping 5 1988 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 On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046 Cannon, John R.; DiBenedetto, Emmanuele 5 1978 The numerical solution of the Dirichlet problem for Laplace’s equation by linear programming. Zbl 0221.65186 Cannon, J. R. 5 1964 Free boundary problems in solidification of alloys. Zbl 0436.35079 Alexiades, Vasilios; Cannon, John R. 4 1980 The determination of unknown parameters in analytic systems of ordinary differential equations. Zbl 0251.34002 Cannon, J. R.; Filmer, D. L. 4 1967 A quasi-linear parabolic equation with nonlocal boundary condition. Zbl 0726.35065 Cannon, J. R.; Lin, Yanping; van der Hoek, J. 4 1990 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. 6 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. 33 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. 37 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 23 1999 Structural identification of an unknown source term in a heat equation. Zbl 0917.35156 Cannon, J. R.; DuChateau, Paul 108 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 71 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. 30 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 88 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 46 1991 On a class of nonlinear parabolic equations with nonlinear trace type functionals. Zbl 0735.35078 Cannon, John R.; Yin, Hongming 22 1991 Uniqueness and stability of 3D heat sources. Zbl 0729.35144 Cannon, J. R.; Pérez-Esteva, Salvador 22 1991 Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162 Cannon, John R.; Rundell, William 19 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 96 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 82 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 39 1990 A Galerkin procedure for diffusion equations with boundary integral conditions. Zbl 0721.65054 Cannon, John R.; Lin, Yanping 21 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 111 1989 Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations. Zbl 0709.65121 Cannon, J. R.; Lin, Yanping; Xie, Chongyuan 11 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 A class of multi-dimensional non-classical parabolic problems. Zbl 0719.35047 Cannon, John R.; Yin, Hong-Ming 1 1989 Determination of a parameter p(t) in some quasi-linear parabolic differential equations. Zbl 0697.35162 Cannon, John R.; Lin, Yanping 66 1988 Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations. Zbl 0685.65124 Cannon, J. R.; Lin, Y. 61 1988 Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Zbl 0688.35104 Cannon, J. R.; Lin, Yanping 47 1988 A uniqueness theorem for a class on nonlinear parabolic inverse problems. Zbl 0697.35068 Cannon, John R.; Yin, Hongming 9 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 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 69 1987 An inverse problem for an elliptic partial differential equation. Zbl 0638.35081 Cannon, John R.; Rundell, William 12 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 67 1986 An inverse problem for the heat equation. Zbl 0624.35078 Cannon, John Rozier; Pérez Esteva, Salvador 30 1986 A note on an inverse problem related to the 3-D heat equation. Zbl 0612.35122 Cannon, John R.; Esteva, Salvador Pérez 3 1986 Determination of a source term in a linear parabolic differential equation with mixed boundary conditions. Zbl 0613.35032 Cannon, John R.; Lin, Yanping 3 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 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 362 1984 An inverse problem for an unknown source term in a wave equation. Zbl 0518.35081 Cannon, J. R.; Duchateau, P. 23 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 42 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 25 1982 On the phase Stefan problem subject to the specification of energy. Zbl 0508.35074 Cannon, John R.; Van der Hoek, John 21 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 13 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 136 1980 An inverse problem for a nonlinear diffusion equation. Zbl 0452.35112 Cannon, J. R.; DuChateau, Paul 38 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 19 1980 An inverse problem for an unknown source in a heat equation. Zbl 0448.35085 Cannon, J. R.; DuChateau, P. 18 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 The steady state Stefan problem with convection, with mixed temperature and nonlinear heat flux boundary conditions. Zbl 0493.76088 Cannon, J. R. 1 1980 On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046 Cannon, John R.; DiBenedetto, Emmanuele 5 1978 Multiphase parabolic free boundary value problems. Zbl 0456.35092 Cannon, J. R. 2 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. 20 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. 6 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. 3 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 5 1974 Determining unknown coefficients in a non-linear heat conducting problem. Zbl 0252.35034 Cannon, J. R.; DuChateau, Paul 25 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 2 1973 On diffusion in a fractured medium. Zbl 0266.35002 Cannon, J. R.; Meyer, G. H. 42 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 23 1971 A two phase Stefan problem with temperature boundary conditions. Zbl 0219.35046 Cannon, J. R.; Primicerio, Mario 22 1971 A two phase Stefan problem with flux boundary conditions. Zbl 0219.35047 Cannon, J. R.; Primicerio, Mario 19 1971 A two phase Stefan problem: regularity of the free boundary. Zbl 0219.35048 Cannon, J. R.; Primicerio, Mario 8 1971 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,234 Authors 62 Dehghan Takht Fooladi, Mehdi 46 Cannon, John Rozier 46 Lesnic, Daniel 36 Tarzia, Domingo Alberto 27 Fu, Chuli 23 Yang, Liu 22 Deng, Zuicha 21 Ismailov, Mansur I. 21 Shidfar, Abdollah 21 Yang, Fan 20 Lin, Yanping 18 Kanca, Fatma 15 Pani, Amiya Kumar 15 Primicerio, Mario 14 Briozzo, Adriana C. 14 Hasanoǧlu, Alemdar 14 Jódar Sanchez, Lucas Antonio 14 Pourgholi, Reza 13 Denisov, Alexander Mikhailovich 13 Fasano, Antonio 13 Huntul, Mousa J. 13 Johansson, B. Tomas 13 Kamynin, Vitaly Leonidovich 13 Vajravelu, Kuppalapalle 12 Li, Xiaoxiao 11 Baglan, Irem Sakinc 11 Roscani, Sabrina D. 11 Rundell, William 11 van Gorder, Robert Ashton 11 Yamamoto, Masahiro 11 Yin, Hongming 10 Ashyralyev, Allaberen 10 El-Gamel, Mohamed 10 Luo, Zhendong 10 Mehraliyev, Yashar T. 10 Mukhtarov, Oktay Sh. 10 Ye, Zhuan 9 Abdulla, Ugur G. 9 Kozhanov, Aleksandr Ivanovich 9 Mesloub, Said 9 Sabitov, Kamil’ Basirovich 9 Tamilselvan, Ayyadurai 9 Yu, Jianning 8 Aydemir, Kadriye 8 Bollati, Julieta 8 Čiegis, Raimondas 8 Demir, Ali 8 Erdogan, Abdullah Said 8 Fatullayev, Afet Golayoglu 8 Galdi, Giovanni Paolo 8 Hou, Tianliang 8 Liu, Jijun 8 Natale, María Fernanda 8 Sapagovas, Mifodijus 8 Shivanian, Elyas 8 Showalter, Ralph E. 8 Wu, Jiahong 8 Yao, Zhengan 7 Abbasbandy, Saeid 7 Ahmad, Bashir 7 Al-saedi, Ahmed Eid Salem 7 Boulaaras, Salah Mahmoud 7 Cao, Kai 7 De Angelis, Monica 7 Gala, Sadek 7 Hamdi, Adel 7 He, Yinnian 7 Hussein, Mohammed S. 7 Lancia, Maria Rosaria 7 Li, Dongfang 7 Li, Gongsheng 7 Liu, Chein-Shan 7 Ragusa, Maria Alessandra 7 Rashedi, Kamal 7 Shi, Dongyang 7 Štikonas, Artūras 7 Taki-Eddine, Oussaeif 7 Yadav, Sangita 7 Yan, Liang 7 Zhang, Shuhua 6 Azizbayov, Elvin Ibrahim 6 DiBenedetto, Emmanuele 6 Ewing, Richard Edward 6 Kian, Yavar 6 Li, Heng 6 Luo, Guanwei 6 Mohamed, Fouad A. 6 Ozbilge, Ebru 6 Qiu, Hua 6 Slodička, Marián 6 Tamsir, Mohammad 6 Tatari, Mehdi 6 Tekin, Ibrahim 6 Xu, Xiaojing 6 Xu, Yongzhi S. 6 Yousefi, Sohrab Ali 6 Zhao, Jingjun 6 Zhao, Kun 6 Zhou, Jianrong 5 Aida-Zade, Kamil Rajab ...and 2,134 more Authors all top 5 Cited in 376 Serials 127 Applied Mathematics and Computation 88 Journal of Mathematical Analysis and Applications 60 Mathematical Methods in the Applied Sciences 58 Inverse Problems in Science and Engineering 54 Computers & Mathematics with Applications 54 Journal of Computational and Applied Mathematics 45 Applicable Analysis 40 Journal of Differential Equations 40 Nonlinear Analysis. 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(English Edition) 5 Advances in Mathematical Physics 5 Advances in Applied Mathematics and Mechanics 4 Computer Physics Communications 4 International Journal of Control 4 Journal of Statistical Physics 4 Journal of Functional Analysis 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 Systems & Control Letters ...and 276 more Serials all top 5 Cited in 44 Fields 1,508 Partial differential equations (35-XX) 845 Numerical analysis (65-XX) 309 Fluid mechanics (76-XX) 216 Classical thermodynamics, heat transfer (80-XX) 157 Ordinary differential equations (34-XX) 132 Integral equations (45-XX) 96 Operator theory (47-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 53 Probability theory and stochastic processes (60-XX) 48 Biology and other natural sciences (92-XX) 46 Mechanics of deformable solids (74-XX) 46 Systems theory; control (93-XX) 34 Real functions (26-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 23 Geophysics (86-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Potential theory (31-XX) 18 Statistical mechanics, structure of matter (82-XX) 14 Approximations and expansions (41-XX) 14 Optics, electromagnetic theory (78-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Functional analysis (46-XX) 11 Computer science (68-XX) 10 Functions of a complex variable (30-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Measure and integration (28-XX) 9 Special functions (33-XX) 9 Operations research, mathematical programming (90-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 4 Difference and functional equations (39-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-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) Citations by Year