A noncharacteristic cauchy problem for the heat equation
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[1] A. M. Meirmanov,et al. The Stefan Problem , 1992 .
[2] T. D. Van. PSEUDODIFFERENTIAL OPERATORS WITH ANALYTIC SYMBOLS AND THEIR APPLICATIONS(Microlocal Analysis of Differential Equations) , 1991 .
[3] R. Gorenflo,et al. On the cauchy problems for systems of partial differential equations with a distinguished variable , 1991 .
[4] Diego A. Murio,et al. A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry , 1990 .
[5] Emil Simiu,et al. Identification of dynamic Green's functions in structural networks , 1989 .
[6] J. Irwin,et al. Infinite-order differential equations and the heat equation , 1989 .
[7] Heinz W. Engl,et al. Stability estimates and regularization for an inverse heat conduction prolem in semi - infinite and finite time intervals , 1989 .
[8] Diego A. Murio,et al. The mollification method and the numerical solution of the inverse heat conduction problem by finite differences , 1989 .
[9] P. Knabner,et al. The optimal stability estimate for some ill‐posed Cauchy problems for a parabolic equation , 1988 .
[10] J. Paloschi,et al. Combined mollification—future temperatures procedure for solution of inverse heat conduction problem , 1988 .
[11] Edward Hensel,et al. Inverse Problems for Multi-Dimensional Parabolic Partial Differential Equations , 1988 .
[12] E. Simiu,et al. Dynamic characterization of structures by pulse probing and deconvolution , 1988 .
[13] Diego A. Murio,et al. Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problems , 1988 .
[14] L. Eldén,et al. Hyperbolic approximations for a Cauchy problem for the heat equation , 1988 .
[15] D. Murio,et al. An integral solution for the inverse heat conduction problem after the method of Weber , 1988 .
[16] Peter Knabner,et al. Stabilization of ill-posed Cauchy problems for parabolic equations , 1987 .
[17] Alfred S. Carasso,et al. Infinitely divisible pulses, continuous deconvolution, and the characterization of linear time invariant systems , 1987 .
[18] Lars Eldén,et al. Approximations for a Cauchy problem for the heat equation , 1987 .
[19] J. Baumeister. Stable solution of inverse problems , 1987 .
[20] R. Reemtsen. Defect minimization in operator equations : theory and applications , 1987 .
[21] Heinz W. Engl,et al. On an Inverse Problem for a Nonlinear Heat Equation Connected with Continuous Casting of Steel , 1987 .
[22] P. Knabner,et al. STABILITY ESTIMATES FOR ILL-POSED CAUCHY PROBLEMS FOR PARABOLIC EQUATIONS , 1987 .
[23] I︠u︡. A. Dubinskiĭ. Sobolev Spaces of Infinite Order and Differential Equations , 1986 .
[24] M. M. Lavrentʹev,et al. Ill-Posed Problems of Mathematical Physics and Analysis , 1986 .
[25] P. Monk. Error estimates for a numerical method for an ill-posed Cauchy problem for the heat equation , 1986 .
[26] M. Raynaud,et al. SURFACE VARIANCE ESTIMATES USING AN ADJOINT FORMULATION FOR A ONE-DIMENSIONAL NONLINEAR INVERSE HEAT CONDUCTION TECHNIQUE , 1986 .
[27] R. Hills,et al. ONE-DIMENSIONAL NONLINEAR INVERSE HEAT CONDUCTION TECHNIQUE , 1986 .
[28] A. Carasso,et al. $L^\infty $ Error Bounds in Partial Deconvolution of the Inverse Gaussian Pulse , 1985 .
[29] Heinz W. Engl,et al. Numerical solution of an inverse problem connected with continuous casting of steel , 1985, Z. Oper. Research.
[30] N. M. Al-Najem,et al. On the solution of three-dimensional inverse heat conduction in finite media , 1985 .
[31] B. Blackwell,et al. Inverse Heat Conduction: Ill-Posed Problems , 1985 .
[32] P. Knabner. Control of stefan problems by means of linear-quadratic defect minimization , 1985 .
[33] Nelson N. Hsu,et al. PROBE WAVEFORMS AND DECONVOLUTION IN THE EXPERIMENTAL DETERMINATION OF ELASTIC GREEN'S FUNCTIONS* , 1985 .
[34] L. Payne. Improved Stability Estimates for Classes of Illposed Cauchy Problems , 1985 .
[35] H. R. Busby,et al. Numerical solution to a two‐dimensional inverse heat conduction problem , 1985 .
[36] H. Levine,et al. Estimates and regularization for solutions of some ill-posed problems of elliptic and parabolic type , 1985 .
[37] K. Yosida. Operational Calculus: A Theory of Hyperfunctions , 1984 .
[38] A. Kirsch,et al. A method for the numerical solution of the one-dimensional inverse Stefan problem , 1984 .
[39] J. V. Beck,et al. Combined function specification-regularization procedure for solution of inverse heat conduction problem , 1984 .
[40] P. Knabner. Regularization of the cauchy problem for the heat equation by norm bounds , 1984 .
[41] Felix E. Browder,et al. The One-Dimensional Heat Equation , 1984 .
[42] Howard A. Levine,et al. Continuous data dependence, regularization, and a three lines theorem for the heat equation with data in a space like direction , 1983 .
[43] A. Carasso. Nonlinear Inverse Heat Transfer Calculations in Gun Barrels. , 1983 .
[44] B. Blackwell. Some comments on Beck's solution of the inverse problem of heart conduction through the use of Duhamel's theorem , 1983 .
[45] P. Knabner. Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions , 1983 .
[46] Yu. A. Dubinskii. The algebra of pseudodifferential operators with analytic symbols and its applications to mathematical physics , 1982 .
[47] J. Beck,et al. EFFICIENT SEQUENTIAL SOLUTION OF THE NONLINEAR INVERSE HEAT CONDUCTION PROBLEM , 1982 .
[48] A. Carasso. Determining Surface Temperatures from Interior Observations , 1982 .
[49] D. Murio. On the estimation of the boundary temperature on a sphere from measurements at its center , 1982 .
[50] G. Talenti,et al. A note on an ill-posed problem for the heat equation , 1982, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.
[51] Charles F. Weber,et al. Analysis and solution of the ill-posed inverse heat conduction problem , 1981 .
[52] L. C. Chow,et al. Inverse Heat Conduction by Direct Inverse Laplace Transform , 1981 .
[53] J. Bell. The Noncharacteristic Cauchy Problem for a Class of Equations with Time Dependence. II. Multidimensional Problems , 1981 .
[54] J. Bell. The Noncharacteristic Cauchy Problem for a Class of Equations with Time Dependence. I. Problems in One Space Dimension , 1981 .
[55] B. F. Blackwell,et al. EFFICIENT TECHNIQUE FOR THE NUMERICAL SOLUTION OF THE ONE-DIMENSIONAL INVERSE PROBLEM OF HEAT CONDUCTION , 1981 .
[56] D. Murio. The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem , 1981 .
[57] D. Murio. Numerical methods for inverse transient heat conduction problems , 1981 .
[58] K. Miller,et al. Calculation of the surface temperature and heat flux on one side of a wall from measurements on the opposite side , 1980 .
[59] Peter Jochum,et al. The numerical solution of the inverse Stefan problem , 1980 .
[60] R. Goodman. Singular integral operators on nilpotent Lie groups , 1980 .
[61] Peter Jochum,et al. The inverse Stefan problem as a problem of nonlinear approximation theory , 1980 .
[62] B. Brosowski,et al. Differentiable dependence upon the data in a one-phase Stefan problem , 1980 .
[63] David Colton,et al. Analytic theory of partial differential equations , 1980 .
[64] R. Ewing. The Cauchy problem for a linear parabolic partial differential equation , 1979 .
[65] G. P. Mulholland,et al. The accuracy and resolving power of one dimensional transient inverse heat conduction theory as applied to discrete and inaccurate measurements , 1979 .
[66] R. Mehta. Extension of the solution of inverse conduction problem , 1979 .
[67] M. Imber. Nonlinear Heat Transfer in Planar Solids: Direct and Inverse Applications , 1979 .
[68] I. N. Shklyarov,et al. An inverse problem of heat conduction , 1979 .
[69] R. Ewing,et al. Numerical approximation of a Cauchy problem for a parabolic partial differential equation , 1979 .
[70] D. Colton. Integral Operator Methods in the Theory of Wave Propagation and Heat Conduction. , 1977 .
[71] P. Sjölin. On the convergence almost everywhere of double Fourier series , 1976 .
[72] R. Ewing,et al. A direct numerical procedure for the Cauchy problem for the heat equation , 1976 .
[73] D. Colton. Solution of boundary value problems by the method of integral operators , 1976 .
[74] M. Stecher. Integral Operators and the Noncharacteristic Cauchy Problem for Parabolic Equations , 1975 .
[75] V. Glasko,et al. Application of the regularization method to solve an inverse problem of non-linear heat-conduction theory☆ , 1975 .
[76] S. Nikol,et al. Approximation of Functions of Several Variables and Imbedding Theorems , 1975 .
[77] M. Imber. Two-Dimensional Inverse Conduction Problem- Further Observations , 1975 .
[78] D. Widder. The heat equation , 1975 .
[79] David Colton,et al. The Inverse Stefan Problem for the Heat Equation in Two Space Variables. , 1974 .
[80] Murray Imber,et al. Temperature Extrapolation Mechanism for Two-Dimensional Heat Flow , 1974 .
[81] O. Oleinik,et al. GENERALIZED ANALYTICITY AND SOME RELATED PROPERTIES OF SOLUTIONS OF ELLIPTIC AND PARABOLIC EQUATIONS , 1974 .
[82] M. Imber. The two dimensional inverse problem in heat conduction , 1974 .
[83] O. Alifanov. Inverse problem of heat conduction , 1973 .
[84] D. Colton. The Noncharacteristic Cauchy Problem for Parabolic Equations in One Space Variable , 1973 .
[85] Murray Imber,et al. Prediction of Transient Temperature Distributions with Embedded Thermocouples , 1972 .
[86] H. Pollard,et al. Inversion of a Convolution Transform Related to Heat Conduction , 1970 .
[87] J. Beck. Nonlinear estimation applied to the nonlinear inverse heat conduction problem , 1970 .
[88] J. Cannon,et al. Continuous dependence of bounded solutions of a linear parabolic partial differential equation upon interior Cauchy data , 1968 .
[89] J. Beck. Surface heat flux determination using an integral method , 1968 .
[90] C. Hill. A METHOD FOR THE CONSTRUCTION OF REFLECTION LAWS FOR A PARABOLIC EQUATION( , 1968 .
[91] Jim Douglas,et al. The Cauchy Problem for the Heat Equation , 1967 .
[92] C. Denson Hill,et al. Parabolic equations in one space variable and the non-characteristic cauchy problem , 1967 .
[93] J. Cannon,et al. Existence, Uniqueness, Stability, and Monotone Dependence in a Stefan Problem for the Heat Equation , 1967 .
[94] Fritz John,et al. Lectures on advanced numerical analysis , 1967 .
[95] A. Tikhonov,et al. Methods of determining the surface temperature of a body , 1967 .
[96] D. Langford. New analytic solutions of the one-dimensional heat equation for temperature and heat flow rate both prescribed at the same fixed boundary (with applications to the phase change problem) , 1967 .
[97] George G. Lorentz,et al. Approximation of Functions , 1968 .
[98] J. M. Davies. Input Power Determined From Temperatures in Simulated Skin Protected Against Thermal Radiation , 1966 .
[99] A. Tsutsumi. A remark on the uniqueness of the non-characteristic Cauchy problem for equations of parabolic type , 1965 .
[100] J. R. Cannon,et al. A Cauchy problem for the heat equation , 1964 .
[101] J. Cannon. A priori estimate for continuation of the solution of the heat equation in the space variable , 1964 .
[102] E. Sparrow,et al. The Inverse Problem in Transient Heat Conduction , 1964 .
[103] O. Burggraf. An Exact Solution of the Inverse Problem in Heat Conduction Theory and Applications , 1964 .
[104] Giorgio Talenti. Un problema di Cauchy , 1964 .
[105] I. Frank. An application of least squares method to the solution of the inverse problem of heat conduction. , 1963 .
[106] F. Ginsberg. On the Cauchy Problem for the One-Dimensional Heat Equation , 1963 .
[107] M. Protter. Properties of Solutions of Parabolic Equations and Inequalities , 1961, Canadian Journal of Mathematics.
[108] G. Stolz. Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes , 1960 .
[109] C. Pucci. Alcune limitazioni per le soluzioni di equazioni paraboliche , 1959 .
[110] H. Pollard,et al. THE FINITE CONVOLUTION TRANSFORM , 1959 .
[111] J. Mikusiński. Operational Calculus , 1959 .
[112] Sigeru Mizohata,et al. Unicité du prolongement des solutions pour quelques opérateurs différentiels paraboliques , 1958 .
[113] F. John,et al. Differential equations with approximate and improper date , 1955 .
[114] J. C. Jaeger,et al. Conduction of Heat in Solids , 1952 .
[115] A. Boulanger. Sur l'équation de la propagation de la chaleur , 1897 .
[116] P. Appell. Sur l’équation $\frac{\delta ^{2}z}{dx^{2}}-\frac{\delta z}{\delta y}=o$ et la Théorie de la chaleur , 1892 .
[117] J. Stefan,et al. Ueber die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere , 1891 .