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Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
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E. Francini
Published/Copyright:
September 7, 2013
Abstract
- We study a noncharacteristic Cauchy problem for a linear parabolic equation in one space variable. This problem is ill-posed. We prove that solutions that are bounded in the supremum norm depend continuously upon Cauchy data and the same is true for regular level lines of such solutions.
Published Online: 2013-09-07
Published in Print: 2000-06
© 2013 by Walter de Gruyter GmbH & Co.
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- On symmetry condition of images of Fourier – Gelfand – Graev integral transformation
- Subdifferential inverse problems for evolution Navier – Stokes systems
- Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
- Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
- Group analysis and formulas in inverse problems of mathematical physics
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- A multifunctional extension of function spaces: chaotic systems are maximally ill-posed
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Articles in the same Issue
- Contents
- On symmetry condition of images of Fourier – Gelfand – Graev integral transformation
- Subdifferential inverse problems for evolution Navier – Stokes systems
- Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
- Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
- Group analysis and formulas in inverse problems of mathematical physics
- A numerical method for solving the inverse scattering problem with fixed-energy phase shifts
- A multifunctional extension of function spaces: chaotic systems are maximally ill-posed
- Integral geometry problems for symmetric tensor fields with incomplete data
