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On an Allen-Cahn type integrodifferential equation
Convergence to a stationary state of solutions to inverse problems of parabolic type
1. | Dipartimento di Matematica, Piazza di Porta S. Donato, 5, 40126 Bologna, Italy |
References:
[1] |
Y. Y. Belov, "Inverse Problems for Partial Differential Equations,", Inverse and Ill-posed Problems Series, (2002).
doi: 10.1515/9783110944631. |
[2] |
D. Guidetti, On elliptic problems in Besov spaces,, Math. Nachr., 152 (1991), 247.
doi: 10.1002/mana.19911520120. |
[3] |
D. Guidetti, On interpolation with boundary conditions,, Math. Z., 207 (1991), 439.
doi: 10.1007/BF02571401. |
[4] |
D. Guidetti, Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels,, Diff. Int. Eq., 20 (2007), 961.
|
[5] |
D. Guidetti, Asymptotic expansion of solutions to an inverse problem of parabolic type,, Adv. Diff. Eq., 13 (2008), 399.
|
[6] |
D. Guidetti, On linear elliptic and parabolic problems in Nikol'skij spaces,, in, (2011), 275. Google Scholar |
[7] |
D. Guidetti, Asymptotic expansion of solutions to an inverse problem of parabolic type with nonhomogeneous boundary conditions,, Proc. Roy. Soc. Edinburgh Sect. A, 141 (2011), 777.
doi: 10.1017/S0308210510000788. |
[8] |
A. F. Güvenilir and V. K. Kalantarov, The asymptotic behavior of solutions to an inverse problem for differential operator equations,, Mathematical and Computer Modelling, 37 (2003), 907.
doi: 10.1016/S0895-7177(03)00106-7. |
[9] |
V. Kamynin and E. Francini, Asymptotic behavior of solutions of some inverse problems for higher order parabolic equations,, Russ. Jour. Math. Phys., 6 (1999), 394.
|
[10] |
H. Triebel, "Theory of Functions Spaces,", Monogra. Math., (1983). Google Scholar |
[11] |
I. A. Vasin and V. L. Kamynin, On the asymptotic behavior of solutions to inverse problems for parabolic equations,, Siberian Math. Journ., 38 (1997), 647.
doi: 10.1007/BF02674572. |
[12] |
I. A. Vasin and V. L. Kamynin, Asymptotic behavior of the solutions of inverse problems for parabolic equations with irregular coefficients,, Mat. Sbornik, 188 (1997), 49.
doi: 10.1070/SM1997v188n03ABEH000210. |
show all references
References:
[1] |
Y. Y. Belov, "Inverse Problems for Partial Differential Equations,", Inverse and Ill-posed Problems Series, (2002).
doi: 10.1515/9783110944631. |
[2] |
D. Guidetti, On elliptic problems in Besov spaces,, Math. Nachr., 152 (1991), 247.
doi: 10.1002/mana.19911520120. |
[3] |
D. Guidetti, On interpolation with boundary conditions,, Math. Z., 207 (1991), 439.
doi: 10.1007/BF02571401. |
[4] |
D. Guidetti, Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels,, Diff. Int. Eq., 20 (2007), 961.
|
[5] |
D. Guidetti, Asymptotic expansion of solutions to an inverse problem of parabolic type,, Adv. Diff. Eq., 13 (2008), 399.
|
[6] |
D. Guidetti, On linear elliptic and parabolic problems in Nikol'skij spaces,, in, (2011), 275. Google Scholar |
[7] |
D. Guidetti, Asymptotic expansion of solutions to an inverse problem of parabolic type with nonhomogeneous boundary conditions,, Proc. Roy. Soc. Edinburgh Sect. A, 141 (2011), 777.
doi: 10.1017/S0308210510000788. |
[8] |
A. F. Güvenilir and V. K. Kalantarov, The asymptotic behavior of solutions to an inverse problem for differential operator equations,, Mathematical and Computer Modelling, 37 (2003), 907.
doi: 10.1016/S0895-7177(03)00106-7. |
[9] |
V. Kamynin and E. Francini, Asymptotic behavior of solutions of some inverse problems for higher order parabolic equations,, Russ. Jour. Math. Phys., 6 (1999), 394.
|
[10] |
H. Triebel, "Theory of Functions Spaces,", Monogra. Math., (1983). Google Scholar |
[11] |
I. A. Vasin and V. L. Kamynin, On the asymptotic behavior of solutions to inverse problems for parabolic equations,, Siberian Math. Journ., 38 (1997), 647.
doi: 10.1007/BF02674572. |
[12] |
I. A. Vasin and V. L. Kamynin, Asymptotic behavior of the solutions of inverse problems for parabolic equations with irregular coefficients,, Mat. Sbornik, 188 (1997), 49.
doi: 10.1070/SM1997v188n03ABEH000210. |
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