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 1,197 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 130 Publications have been cited 2,602 times in 1,613 Documents Cited by ▼ Year ▼ The solution of the heat equation subject to the specification of energy. Zbl 0173.38404Cannon, J. R. 190 1964 The one-dimensional heat equation. Foreword by Felix E. Browder. Zbl 0567.35001Cannon, John Rozier 136 1984 A class of nonlinear non-classical parabolic equations. Zbl 0702.35120Cannon, John R.; Yin, Hong-Ming 101 1989 Structural identification of an unknown source term in a heat equation. Zbl 0917.35156Cannon, J. R.; DuChateau, Paul 100 1998 An inverse problem of finding a parameter in a semi-linear heat equation. Zbl 0727.35137Cannon, J. R.; Lin, Yanping 90 1990 Determination of an unknown heat source from overspecified boundary data. Zbl 0176.15403Cannon, J. R. 84 1968 Determination of source parameter in parabolic equations. Zbl 0767.35105Cannon, J. R.; Lin, Yanping; Wang, Shingmin 80 1992 A priori \(L^ 2\) error estimates for finite-element methods for nonlinear diffusion equations with memory. Zbl 0709.65122Cannon, J. R.; Lin, Yanping 70 1990 Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Zbl 0805.65133Cannon, J. R.; Lin, Yanping; Xu, Shuzhan 66 1994 A Galerkin procedure for the diffusion equation subject to the specification of mass. Zbl 0677.65108Cannon, John R.; Perez Esteva, Salvador; Van der Hoek, John 63 1987 Diffusion subject to the specification of mass. Zbl 0602.35048Cannon, John R.; van der Hoek, John 62 1986 Determination of a parameter p(t) in some quasi-linear parabolic differential equations. Zbl 0697.35162Cannon, John R.; Lin, Yanping 56 1988 The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059Cannon, J. R.; DiBenedetto, Emmanuele 52 1980 Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations. Zbl 0685.65124Cannon, J. R.; Lin, Y. 51 1988 A Cauchy problem for the heat equation. Zbl 0168.36002Cannon, J. R. 49 1964 Numerical solutions of some parabolic inverse problems. Zbl 0709.65105Cannon, John R.; Yin, Hong-Ming 45 1990 Existence, uniqueness, stability, and monotone dependence in a Stefan problem for the heat equation. Zbl 0154.36403Cannon, J. R.; Hill, C. D. 44 1967 The Cauchy problem for the heat equations. Zbl 0154.36502Cannon, J. R.; Douglas, Jim jun. 41 1967 Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Zbl 0688.35104Cannon, J. R.; Lin, Yanping 40 1988 Determination of a control parameter in a parabolic partial differential equation. Zbl 0767.93047Cannon, J. R.; Lin, Yanping; Wang, Shingmin 39 1991 The solution of the diffusion equation in two space variables subject to the specification of mass. Zbl 0795.35137Cannon, John R.; Lin, Yanping; Matheson, Alec 37 1993 Parameter determination in parabolic partial differential equations from overspecified boundary data. Zbl 0485.35083Cannon, John R.; Zachmann, David 36 1982 On diffusion in a fractured medium. Zbl 0266.35002Cannon, J. R.; Meyer, G. H. 36 1971 An implicit finite difference scheme for the diffusion equation subject to mass specification. Zbl 0721.65046Cannon, John R.; Lin, Yanping; Wang, Shingmin 36 1990 Sinc-Galerkin method for solving linear sixth-order boundary-value problems. Zbl 1054.65085El-Gamel, Mohamed; Cannon, John R.; Zayed, Ahmed I. 34 2004 An inverse problem for a nonlinear diffusion equation. Zbl 0452.35112Cannon, J. R.; DuChateau, Paul 33 1980 Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024Vajravelu, K.; Cannon, J. R. 29 2006 A numerical procedure for diffusion subject to the specification of mass. Zbl 0773.65069Cannon, John R.; Matheson, Alec L. 28 1993 Determination of an unknown coefficient in a parabolic differential equation. Zbl 0117.06901Cannon, J. R. 28 1963 An inverse problem for the heat equation. Zbl 0624.35078Cannon, John Rozier; Pérez Esteva, Salvador 26 1986 Determining unknown coefficients in a non-linear heat conducting problem. Zbl 0252.35034Cannon, J. R.; DuChateau, Paul 23 1973 Uniqueness and stability of 3D heat sources. Zbl 0729.35144Cannon, J. R.; Pérez-Esteva, Salvador 22 1991 Determination of certain parameters in heat conduction problems. Zbl 0131.32104Cannon, J. R. 20 1964 A two phase Stefan problem with temperature boundary conditions. Zbl 0219.35046Cannon, J. R.; Primicerio, Mario 20 1971 Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary. Zbl 0221.35035Cannon, J. R.; Primicerio, Mario 20 1971 A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping 20 1999 A priori estimate for continuation of the solution of the heat equation in the space variable. Zbl 0131.32202Cannon, J. R. 19 1964 A multi-boundary Stefan problem and the disappearance of phase. Zbl 0154.36501Cannon, J. R.; Douglas, Jim jun.; Hill, C. D. 19 1967 On a class of nonlinear parabolic equations with nonlinear trace type functionals. Zbl 0735.35078Cannon, John R.; Yin, Hongming 18 1991 Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162Cannon, John R.; Rundell, William 18 1991 On the movement of a chemical reaction interface. Zbl 0209.12802Cannon, J. R.; Hill, C. D. 18 1970 A Galerkin procedure for diffusion equations with boundary integral conditions. Zbl 0721.65054Cannon, John R.; Lin, Yanping 18 1990 On the phase Stefan problem subject to the specification of energy. Zbl 0508.35074Cannon, John R.; Van der Hoek, John 18 1982 A two phase Stefan problem with flux boundary conditions. Zbl 0219.35047Cannon, J. R.; Primicerio, Mario 17 1971 Classical solutions of the one-dimensional, two-phase Stefan problem. Zbl 0319.35043Cannon, 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 0459.35090Cannon, J. R.; DiBenedetto, Emmanuele 17 1980 An inverse problem for an unknown source term in a wave equation. Zbl 0518.35081Cannon, J. R.; Duchateau, P. 17 1983 A Dirichlet problem for an equation of mixed type with a discontinuous coefficient. Zbl 0116.29903Cannon, J. R. 16 1963 The stability of the boundary in a Stefan problem. Zbl 0154.36402Cannon, J. R.; Douglas, Jim jun. 16 1967 On the observability and stability of the temperature distribution in a composite heat conductor. Zbl 0236.35026Cannon, J. R.; Klein, R. E. 16 1973 An inverse problem for an unknown source in a heat equation. Zbl 0448.35085Cannon, J. R.; DuChateau, P. 16 1980 Remarks on a Stefan problem. Zbl 0153.14301Cannon, J. R.; Hill, C. D. 15 1967 A note on the Cauchy problem for the Navier-Stokes equations. Zbl 0202.37203Cannon, J. R.; Knightly, G. H. 15 1970 Determination of an unknown forcing function in a hyperbolic equation from overspecified data. Zbl 0212.12701Cannon, J. R.; Dunninger, D. R. 15 1970 A numerical method for a nonlocal elliptic boundary value problem. Zbl 1149.65099Cannon, J. R.; Galiffa, D. J. 14 2008 Some continuous dependence theorems for viscous fluid motions. Zbl 0202.37202Cannon, J. R.; Knightly, G. H. 13 1970 Finite element methods for Sobolev equations. Zbl 1064.65112Liu, Tang; Lin, Yan-ping; Rao, Ming; Cannon, J. R. 13 2002 On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem. Zbl 1236.34028Cannon, John R.; Galiffa, Daniel J. 13 2011 Determination of a source term in a linear parabolic partial differential equation. Zbl 0323.35043Cannon, J. R.; Ewing, Richard E. 12 1976 Determination of the unknown coefficient \(k(u)\) in the equation \(\nabla\cdot k(u)\nabla u = 0\) from overspecified boundary data. Zbl 0151.15901Cannon, J. R. 11 1967 A direct numerical procedure for the Cauchy problem for the heat equation. Zbl 0339.65050Cannon, J. R.; Ewing, Richard E. 11 1976 The classical solution of the one-dimensional two-phase Stefan problem with energy specification. Zbl 0493.35080Cannon, John R.; van der Hoek, John 11 1982 The one-phase Stefan problem for the heat equation with boundary temperature specification. Zbl 0212.44303Cannon, J. R.; Hill, C. D.; Primicerio, Mario 10 1970 An inverse problem for an elliptic partial differential equation. Zbl 0638.35081Cannon, 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 0538.35038Cannon, John R.; van der Hoek, John 10 1981 Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1201.34048Akyildiz, 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 0167.10504Cannon, J. R.; Hill, C. Denson 9 1968 Nonlinear convection at a porous flat plate with application to heat transfer from a dike. Zbl 1053.76064Vajravelu, K.; Cannon, J. R.; Leto, J.; Semmoum, R.; Nathan, S.; Draper, M.; Hammock, D. 9 2003 Some problems in numerical analytic continuation. Zbl 0214.14805Cannon, J. R.; Miller, Keith 9 1965 Continuous differentiability of the free boundary for weak solutions of the Stefan problem. Zbl 0278.35054Cannon, John R.; Henry, Daniel B.; Kotlow, Daniel B. 9 1974 On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem. Zbl 0678.35095Cannon, John R.; Yin, Hong-Ming 8 1988 Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations. Zbl 0709.65121Cannon, J. R.; Lin, Yanping; Xie, Chongyuan 8 1989 The steady state Stefan problem with convection. Zbl 0436.76056Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H. 8 1980 Determination of the coefficient of \(u_ x\) in a linear parabolic equation. Zbl 0803.35157Cannon, John R.; Pérez-Esteva, Salvador 7 1994 Error estimates for some unstable continuation problems. Zbl 0134.08501Cannon, J. R. 7 1964 Quasilinear parabolic systems. Zbl 0339.35050Cannon, John R. 7 1976 On the solution a of second order singularly-perturbed boundary value problem by the sinc-Galerkin method. Zbl 1058.65082El-Gamel, Mohamed; Cannon, John R. 7 2005 A two phase Stefan problem: regularity of the free boundary. Zbl 0219.35048Cannon, J. R.; Primicerio, Mario 7 1971 A uniqueness theorem for a class on nonlinear parabolic inverse problems. Zbl 0697.35068Cannon, John R.; Yin, Hongming 7 1988 The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117Cannon, J. R.; DiBenedetto, E.; Knightly, G. H. 7 1983 Regularity at the boundary for solutions of linear parabolic differential equations. Zbl 0158.11603Cannon, J. R. 6 1965 Boundary value multidimensional problems in fast chemical reactions. Zbl 0276.35061Cannon, J. R.; Fasano, Antonio 6 1973 Design of an experiment for the determination of an unknown coefficient in a nonlinear conduction-diffusion equation. Zbl 0645.35096Cannon, J. R.; Duchateau, Paul 6 1987 Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data. Zbl 0679.35056Cannon, John R.; Lin, Yanping 5 1988 A parabolic integro-differential equation arising from thermoelastic contact. Zbl 0948.35067Allegretto, W.; Cannon, John R.; Lin, Yanping 5 1997 An epidemiology model suggested by yellow fever. Zbl 1232.92056Cannon, John R.; Galiffa, Daniel J. 5 2012 The numerical solution of the Dirichlet problem for Laplace’s equation by linear programming. Zbl 0221.65186Cannon, J. R. 5 1964 The numerical solution of some biharmonic problems by mathematical programming techniques. Zbl 0255.65038Cannon, J. R.; Cecchi, Maria M. 5 1966 Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation. Zbl 0715.35083Cannon, J. R.; Pérez-Esteva, Salvador 5 1990 Smooth solutions for an integro-differential equation of parabolic type. Zbl 0719.45007Cannon, John R.; Lin, Yanping 5 1989 On a class of nonlinear nonclassical parabolic equations. Zbl 1092.35040Cannon, J. R.; Salman, M. 5 2006 Galerkin procedures for systems of parabolic partial differential equations related to the transmission of nerve impulses. Zbl 0361.35006Cannon, J. R.; Ewing, R. E. 5 1977 The determination of unknown parameters in analytic systems of ordinary differential equations. Zbl 0251.34002Cannon, J. R.; Filmer, D. L. 4 1967 Determination of the conductivity of an isotropic medium. Zbl 0295.35026Cannon, J. R.; DuChateau, Paul 4 1974 The locations and strengths of point sources. Zbl 0315.31005Cannon, J. R.; Ewing, R. E. 4 1975 A quasi-linear parabolic equation with nonlocal boundary condition. Zbl 0726.35065Cannon, J. R.; Lin, Yanping; van der Hoek, J. 4 1990 An implicit finite difference scheme for the diffusion equation subject to the specification of mass in a portion of the domain. Zbl 0477.65072Cannon, John R.; van der Hoek, John 4 1982 On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046Cannon, John R.; DiBenedetto, Emmanuele 4 1978 Free boundary problems in solidification of alloys. Zbl 0436.35079Alexiades, Vasilios; Cannon, John R. 4 1980 On solutions of some non-linear differential equations arising in third grade fluid flows. Zbl 1211.76015Vajravelu, K.; Cannon, J. R.; Rollins, D.; Leto, J. 4 2002 Groups equal to a product of three conjugate subgroups. Zbl 1375.20020Cannon, John; Garonzi, Martino; Levy, Dan; Maróti, Attila; Simion, Iulian I. 2 2016 An epidemiology model suggested by yellow fever. Zbl 1232.92056Cannon, John R.; Galiffa, Daniel J. 5 2012 On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem. Zbl 1236.34028Cannon, John R.; Galiffa, Daniel J. 13 2011 Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1201.34048Akyildiz, 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 1149.65099Cannon, J. R.; Galiffa, D. J. 14 2008 The one-dimensional heat equation. Foreword by Felix E. Browder. Paperback reprint of the 1984 edition. Zbl 1156.35001Cannon, John Rozier 1 2008 Fluid flow over a nonlinearly stretching sheet. Zbl 1143.76024Vajravelu, K.; Cannon, J. R. 29 2006 On a class of nonlinear nonclassical parabolic equations. Zbl 1092.35040Cannon, J. R.; Salman, M. 5 2006 On the solution a of second order singularly-perturbed boundary value problem by the sinc-Galerkin method. Zbl 1058.65082El-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 1160.74358Cannon, J. R.; Salman, M. 1 2005 Sinc-Galerkin method for solving linear sixth-order boundary-value problems. Zbl 1054.65085El-Gamel, Mohamed; Cannon, John R.; Zayed, Ahmed I. 34 2004 Nonlinear convection at a porous flat plate with application to heat transfer from a dike. Zbl 1053.76064Vajravelu, K.; Cannon, J. R.; Leto, J.; Semmoum, R.; Nathan, S.; Draper, M.; Hammock, D. 9 2003 Finite element methods for Sobolev equations. Zbl 1064.65112Liu, 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 1211.76015Vajravelu, 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 0974.34017Vajravelu, K.; Cannon, J. R.; Rollins, D. 3 2000 A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping 20 1999 Structural identification of an unknown source term in a heat equation. Zbl 0917.35156Cannon, J. R.; DuChateau, Paul 100 1998 A parabolic integro-differential equation arising from thermoelastic contact. Zbl 0948.35067Allegretto, W.; Cannon, John R.; Lin, Yanping 5 1997 Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Zbl 0805.65133Cannon, J. R.; Lin, Yanping; Xu, Shuzhan 66 1994 Determination of the coefficient of \(u_ x\) in a linear parabolic equation. Zbl 0803.35157Cannon, John R.; Pérez-Esteva, Salvador 7 1994 The solution of the diffusion equation in two space variables subject to the specification of mass. Zbl 0795.35137Cannon, John R.; Lin, Yanping; Matheson, Alec 37 1993 A numerical procedure for diffusion subject to the specification of mass. Zbl 0773.65069Cannon, John R.; Matheson, Alec L. 28 1993 Indirect determination of hydraulic properties of porous media. Zbl 0805.76078Cannon, J. R.; DuChateau, Paul 1 1993 Determination of source parameter in parabolic equations. Zbl 0767.35105Cannon, J. R.; Lin, Yanping; Wang, Shingmin 80 1992 Determination of a control parameter in a parabolic partial differential equation. Zbl 0767.93047Cannon, J. R.; Lin, Yanping; Wang, Shingmin 39 1991 Uniqueness and stability of 3D heat sources. Zbl 0729.35144Cannon, J. R.; Pérez-Esteva, Salvador 22 1991 On a class of nonlinear parabolic equations with nonlinear trace type functionals. Zbl 0735.35078Cannon, John R.; Yin, Hongming 18 1991 Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162Cannon, John R.; Rundell, William 18 1991 A remark on the solvability for nonlinear parabolic integro-differential equations in one-dimensional spaces. Zbl 0749.45010Cannon, J. R.; Lin, Yanping 1 1991 An inverse problem of finding a parameter in a semi-linear heat equation. Zbl 0727.35137Cannon, J. R.; Lin, Yanping 90 1990 A priori \(L^ 2\) error estimates for finite-element methods for nonlinear diffusion equations with memory. Zbl 0709.65122Cannon, J. R.; Lin, Yanping 70 1990 Numerical solutions of some parabolic inverse problems. Zbl 0709.65105Cannon, John R.; Yin, Hong-Ming 45 1990 An implicit finite difference scheme for the diffusion equation subject to mass specification. Zbl 0721.65046Cannon, John R.; Lin, Yanping; Wang, Shingmin 36 1990 A Galerkin procedure for diffusion equations with boundary integral conditions. Zbl 0721.65054Cannon, 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 0715.35083Cannon, J. R.; Pérez-Esteva, Salvador 5 1990 A quasi-linear parabolic equation with nonlocal boundary condition. Zbl 0726.35065Cannon, J. R.; Lin, Yanping; van der Hoek, J. 4 1990 A periodic free boundary problem arising in some diffusion chemical reaction processes. Zbl 0723.35085Cannon, John R.; Yin, Hong-Ming 3 1990 Unknown ingredient inverse problems and trace-type functional differential equations. Zbl 0715.35084Cannon, J. R.; DuChateau, Paul; Steube, Ken 2 1990 A class of nonlinear non-classical parabolic equations. Zbl 0702.35120Cannon, John R.; Yin, Hong-Ming 101 1989 Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations. Zbl 0709.65121Cannon, J. R.; Lin, Yanping; Xie, Chongyuan 8 1989 Smooth solutions for an integro-differential equation of parabolic type. Zbl 0719.45007Cannon, John R.; Lin, Yanping 5 1989 On the rainfall infiltration through a soil medium. Zbl 0684.35090Cannon, 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 0695.76046Cannon, John R.; Mohamed, Fouad A. 1 1989 Determination of a parameter p(t) in some quasi-linear parabolic differential equations. Zbl 0697.35162Cannon, John R.; Lin, Yanping 56 1988 Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations. Zbl 0685.65124Cannon, J. R.; Lin, Y. 51 1988 Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Zbl 0688.35104Cannon, J. R.; Lin, Yanping 40 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 0678.35095Cannon, John R.; Yin, Hong-Ming 8 1988 A uniqueness theorem for a class on nonlinear parabolic inverse problems. Zbl 0697.35068Cannon, John R.; Yin, Hongming 7 1988 Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data. Zbl 0679.35056Cannon, John R.; Lin, Yanping 5 1988 A Galerkin procedure for the diffusion equation subject to the specification of mass. Zbl 0677.65108Cannon, John R.; Perez Esteva, Salvador; Van der Hoek, John 63 1987 An inverse problem for an elliptic partial differential equation. Zbl 0638.35081Cannon, John R.; Rundell, William 10 1987 Design of an experiment for the determination of an unknown coefficient in a nonlinear conduction-diffusion equation. Zbl 0645.35096Cannon, J. R.; Duchateau, Paul 6 1987 Diffusion subject to the specification of mass. Zbl 0602.35048Cannon, John R.; van der Hoek, John 62 1986 An inverse problem for the heat equation. Zbl 0624.35078Cannon, 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 0613.35032Cannon, John R.; Lin, Yanping 1 1986 A free boundary-value problem related to the combustion of a solid. Zbl 0585.35085Cannon, John R.; Cavendish, James C.; Fasano, Antonio 3 1985 The one-dimensional heat equation. Foreword by Felix E. Browder. Zbl 0567.35001Cannon, John Rozier 136 1984 An inverse problem for an unknown source term in a wave equation. Zbl 0518.35081Cannon, J. R.; Duchateau, P. 17 1983 The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117Cannon, J. R.; DiBenedetto, E.; Knightly, G. H. 7 1983 Parameter determination in parabolic partial differential equations from overspecified boundary data. Zbl 0485.35083Cannon, John R.; Zachmann, David 36 1982 On the phase Stefan problem subject to the specification of energy. Zbl 0508.35074Cannon, John R.; Van der Hoek, John 18 1982 The classical solution of the one-dimensional two-phase Stefan problem with energy specification. Zbl 0493.35080Cannon, 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 0477.65072Cannon, 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 0538.35038Cannon, John R.; van der Hoek, John 10 1981 The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059Cannon, J. R.; DiBenedetto, Emmanuele 52 1980 An inverse problem for a nonlinear diffusion equation. Zbl 0452.35112Cannon, J. R.; DuChateau, Paul 33 1980 On the existence of weak-solutions to an \(n\)-dimensional Stefan problem with nonlinear boundary conditions. Zbl 0459.35090Cannon, J. R.; DiBenedetto, Emmanuele 17 1980 An inverse problem for an unknown source in a heat equation. Zbl 0448.35085Cannon, J. R.; DuChateau, P. 16 1980 The steady state Stefan problem with convection. Zbl 0436.76056Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H. 8 1980 Free boundary problems in solidification of alloys. Zbl 0436.35079Alexiades, Vasilios; Cannon, John R. 4 1980 A Galerkin procedure for systems of differential equations. Zbl 0463.65071Cannon, J. R.; Ewing, R. E. 1 1980 On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046Cannon, John R.; DiBenedetto, Emmanuele 4 1978 Multiphase parabolic free boundary value problems. Zbl 0456.35092Cannon, J. R. 1 1978 Galerkin procedures for systems of parabolic partial differential equations related to the transmission of nerve impulses. Zbl 0361.35006Cannon, J. R.; Ewing, R. E. 5 1977 A nonlinear parabolic free boundary problem. Zbl 0348.35055Cannon, John R.; Fasano, Antonio 3 1977 On the stability of the temperature distribution in a composite heat conductor. Zbl 0351.35048Cannon, J. R.; Ewing, Richard E. 2 1977 A coupled nonlinear hyperbolic-parabolic system. Zbl 0355.35063Cannon, J. R.; Ewing, Richard E. 2 1977 Approximating the solution to the Cauchy problem for Laplace’s equation. Zbl 0366.65053Cannon, J. R.; DuChateau, P. 1 1977 Classical solutions of the one-dimensional, two-phase Stefan problem. Zbl 0319.35043Cannon, John R.; Henry, Daniel B.; Kotlow, Daniel B. 17 1976 Determination of a source term in a linear parabolic partial differential equation. Zbl 0323.35043Cannon, J. R.; Ewing, Richard E. 12 1976 A direct numerical procedure for the Cauchy problem for the heat equation. Zbl 0339.65050Cannon, J. R.; Ewing, Richard E. 11 1976 Quasilinear parabolic systems. Zbl 0339.35050Cannon, John R. 7 1976 The locations and strengths of point sources. Zbl 0315.31005Cannon, 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 0327.35071Cannon, J. R. 2 1975 Continuous differentiability of the free boundary for weak solutions of the Stefan problem. Zbl 0278.35054Cannon, John R.; Henry, Daniel B.; Kotlow, Daniel B. 9 1974 Determination of the conductivity of an isotropic medium. Zbl 0295.35026Cannon, J. R.; DuChateau, Paul 4 1974 Determining unknown coefficients in a non-linear heat conducting problem. Zbl 0252.35034Cannon, J. R.; DuChateau, Paul 23 1973 On the observability and stability of the temperature distribution in a composite heat conductor. Zbl 0236.35026Cannon, J. R.; Klein, R. E. 16 1973 Boundary value multidimensional problems in fast chemical reactions. Zbl 0276.35061Cannon, J. R.; Fasano, Antonio 6 1973 A Stefan problem involving the appearance of a phase. Zbl 0224.35044Cannon, J. R.; Primicerio, Mario 1 1973 On diffusion in a fractured medium. Zbl 0266.35002Cannon, J. R.; Meyer, G. H. 36 1971 A two phase Stefan problem with temperature boundary conditions. Zbl 0219.35046Cannon, J. R.; Primicerio, Mario 20 1971 Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary. Zbl 0221.35035Cannon, J. R.; Primicerio, Mario 20 1971 A two phase Stefan problem with flux boundary conditions. Zbl 0219.35047Cannon, J. R.; Primicerio, Mario 17 1971 A two phase Stefan problem: regularity of the free boundary. Zbl 0219.35048Cannon, J. R.; Primicerio, Mario 7 1971 On the movement of a chemical reaction interface. Zbl 0209.12802Cannon, J. R.; Hill, C. D. 18 1970 A note on the Cauchy problem for the Navier-Stokes equations. Zbl 0202.37203Cannon, J. R.; Knightly, G. H. 15 1970 Determination of an unknown forcing function in a hyperbolic equation from overspecified data. Zbl 0212.12701Cannon, J. R.; Dunninger, D. R. 15 1970 Some continuous dependence theorems for viscous fluid motions. Zbl 0202.37202Cannon, J. R.; Knightly, G. H. 13 1970 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,774 Authors 61 Dehghan Takht Fooladi, Mehdi 45 Cannon, John Rozier 38 Lesnic, Daniel 24 Fu, Chuli 24 Tarzia, Domingo Alberto 21 Yang, Fan 20 Yang, Liu 19 Deng, Zuicha 18 Lin, Yanping 17 Shidfar, Abdollah 16 Kanca, Fatma 15 Primicerio, Mario 14 Ismailov, Mansur I. 14 Jódar Sanchez, Lucas Antonio 14 Pani, Amiya Kumar 13 Denisov, Alexander Mikhailovich 12 Fasano, Antonio 12 Hasanoǧlu, Alemdar 12 Kamynin, Vitaly Leonidovich 12 Li, Xiaoxiao 12 Vajravelu, Kuppalapalle 11 Johansson, B. Tomas 11 Yin, Hongming 10 Ashyralyev, Allaberen 10 El-Gamel, Mohamed 10 Pourgholi, Reza 10 van Gorder, Robert Ashton 9 Aydemir, Kadriye 9 Baglan, Irem Sakinc 9 Briozzo, Adriana C. 9 Mukhtarov, Oktay Sh. 9 Rundell, William 9 Yu, Jianning 8 Abdulla, Ugur G. 8 Erdogan, Abdullah Said 8 Fatullayev, Afet Golayoglu 8 Galdi, Giovanni Paolo 8 Hou, Tianliang 8 Huntul, Mousa J. 8 Mesloub, Said 8 Shivanian, Elyas 8 Showalter, Ralph E. 8 Tamilselvan, Ayyadurai 8 Yamamoto, Masahiro 7 Abbasbandy, Saeid 7 Boulaaras, Salah Mahmoud 7 Čiegis, Raimondas 7 Hamdi, Adel 7 He, Yinnian 7 Li, Gongsheng 7 Luo, Zhendong 7 Sabitov, Kamil’ Basirovich 7 Sapagovas, Mifodijus 7 Štikonas, Artūras 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 Li, Dongfang 6 Liu, Chein-Shan 6 Liu, Jijun 6 Luo, Guanwei 6 Ozbilge, Ebru 6 Shi, Dongyang 6 Slodička, Marián 6 Taki-Eddine, Oussaeif 6 Tatari, Mehdi 6 Yousefi, Sohrab Ali 5 Aida-Zade, Kamil Rajab 5 Ang, Whyeteong 5 Dai, Daoqing 5 Damirchi, Javad 5 De Angelis, Monica 5 Gimaltdinova, Alfira Avkalevna 5 Huang, Yu 5 Knabner, Peter 5 Kostin, Andrey B. 5 Mohan, Manil Thankamani 5 Nicaise, Serge 5 Pany, Ambit Kumar 5 Rionero, Salvatore 5 Roscani, Sabrina D. 5 Shidfar, Abdullah 5 Wen, Jin 5 Xu, Xiangsheng 5 Yadav, Sangita 5 Yan, Liang 5 Yang, Fenglian 5 Zhao, Jingjun 4 Abd-Elhameed, Waleed Mohamed 4 Azari, Hossein 4 Bougoffa, Lazhar 4 Boukrouche, Mahdi 4 Cao, Kai 4 Chen, Luoping ...and 1,674 more Authors all top 5 Cited in 321 Serials 108 Applied Mathematics and Computation 73 Journal of Mathematical Analysis and Applications 57 Inverse Problems in Science and Engineering 46 Journal of Computational and Applied Mathematics 43 Computers & Mathematics with Applications 38 Applicable Analysis 32 Nonlinear Analysis. 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