Abstract
The peakon inverse problem for the Degasperis–Procesi equation is solved directly on the real line, using Cauchy biorthogonal polynomials, without any additional transformation to a “string”-type boundary value problem known from prior works.
Acknowledgements
I would like to thank Professor H. Lundmark for tremendously helpful suggestions and comments.
References
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© 2017 by De Gruyter
Articles in the same Issue
- Frontmatter
- A functional Hodrick–Prescott filter
- On the peakon inverse problem for the Degasperis–Procesi equation
- Recovery of harmonic functions from partial boundary data respecting internal pointwise values
- Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions
- An inverse problem for a nonlinear diffusion equation with time-fractional derivative
- Imaging of complex-valued tensors for two-dimensional Maxwell’s equations
- Direct and inverse source problems for a space fractional advection dispersion equation
- A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation
- Inverse transmission eigenvalue problems with the twin-dense nodal subset
- Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates
Articles in the same Issue
- Frontmatter
- A functional Hodrick–Prescott filter
- On the peakon inverse problem for the Degasperis–Procesi equation
- Recovery of harmonic functions from partial boundary data respecting internal pointwise values
- Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions
- An inverse problem for a nonlinear diffusion equation with time-fractional derivative
- Imaging of complex-valued tensors for two-dimensional Maxwell’s equations
- Direct and inverse source problems for a space fractional advection dispersion equation
- A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation
- Inverse transmission eigenvalue problems with the twin-dense nodal subset
- Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates