Clinical Metadata-Guided Limited-Angle CT Image Reconstruction. [PDF]
Shi Y +8 more
europepmc +1 more source
One-Step Material Decomposition Using Spectral Diffusion Posterior Sampling in Sparse-View Dual-Layer CT. [PDF]
Fan Y +4 more
europepmc +1 more source
Blind single image restoration for ring-array photoacoustic tomography system via physics-aided unsupervised learning. [PDF]
Dong W +5 more
europepmc +1 more source
A Triangular-Matrix-Based Spectral Encoding Method for Broadband Filtering and Reconstruction-Based Spectral Measurement. [PDF]
Yue P, Wang X.
europepmc +1 more source
On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation
International audienceWe prove the local well-posedness for the nonlinear fourth-order Schrödinger equation (NL4S) in Sobolev spaces. We also study the regularity of solutions in the sub-critical case.
Van Duong Dinh
exaly +5 more sources
Ill-posedness in modeling mixed sediment river morphodynamics
In this paper we analyze the Hirano active layer model used in mixed sediment river morphodynamics concerning its ill-posedness. Ill-posedness causes the solution to be unstable to short-wave perturbations.
Ir A Astrid Blom +2 more
exaly +3 more sources
Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation [PDF]
We establish that the quadratic non-linear Schrödinger equation iut+uxx=u2,where u:R×R→C, is locally well-posed in Hs(R) when s⩾-1 and ill-posed when s-34.
Terence Tao, Ioan Bejenaru
exaly +2 more sources
On the ill-posedness of the Gardner equation [PDF]
We present ill-posedness results for the initial value problem (IVP) for the Gardner equation. We measure the regularity of the Cauchy problem in the classical Sobolev spaces Hs, and show the critical Sobolev index under which the local well-posedness of
Miguel A Alejo
exaly +2 more sources
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