Results 11 to 20 of about 676,988 (164)
Ill-posedness for periodic nonlinear dispersive equations [PDF]
Electronic Journal of Differential Equations, 2010 In this article, we establish new results about the ill-posedness of the Cauchy problem for the modified Korteweg-de Vries and the defocusing modified Korteweg-de Vries equations, in the periodic case. The lack of local well-posedness is in the sense
Jaime Angulo Pava, Sevdzhan Hakkaev
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On Ill-Posedness and Local Ill-Posedness of Operator Equations in Hilbert Spaces: On Ill-Posedness and Local Ill-Posedness of OperatorEquations in Hilbert Spaces [PDF]
, 1998 In this paper, we study ill-posedness concepts of nonlinear and linear inverse problems in a Hilbert space setting. We define local ill-posedness of a nonlinear operator equation $F(x) = y_0$ in a solution point $x_0$ and the interplay between the ...
Hofmann, B.
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On a time fractional diffusion with nonlocal in time conditions
Advances in Difference Equations, 2021 In this work, we consider a fractional diffusion equation with nonlocal integral condition. We give a form of the mild solution under the expression of Fourier series which contains some Mittag-Leffler functions. We present two new results.
Nguyen Hoang Tuan +3 more
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Multiplication operators and its ill-posedness properties [PDF]
, 1998 This paper deals with the characterization of multiplication operators, especially with its behavior in the ill-posed case. We want to classify the different types and degrees of ill-posedness.
G.Fleischer
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WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS [PDF]
, 2013 We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞.
Ascanelli, Alessia, Boiti, Chiara
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Journal of Robotics, 2010 A robot designed to mimic a human becomes kinematically redundant and its total degrees of freedom becomes larger than the number of physical variables required for describing a given task.
Suguru Arimoto +2 more
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Applied Mathematics in Science and Engineering, 2023 This paper considers an inverse initial value problem of diffusion equation with local and nonlocal operators. For this ill-posed problem, we give and prove a result of conditional stability.
Yanhui Li, Hongwu Zhang
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Well/Ill-posedness of the Boltzmann Equation with Soft Potential
, 2023 We consider the Boltzmann equation with the soft potential and angular cutoff. Inspired by the methods from dispersive PDEs, we establish its sharp local well-posedness and ill-posedness in $H^{s}$ Sobolev space. We find the well/ill-posedness separation
Shen, Shunlin +2 more
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Characterising the ill-posedness of PROSAIL inversion for biophysical parameter retrieval
European Journal of Remote SensingThe inversion of PROSAIL, a radiative transfer model widely used for vegetation parameter retrieval, is often considered to be an ill-posed problem. However, beyond this general label, the ill-posedness and its characteristics are not well understood ...
Laurens Arp +3 more
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Solution for Ill-Posed Inverse Kinematics of Robot Arm by Network Inversion
Journal of Robotics, 2010 In the context of controlling a robot arm with multiple joints, the method of estimating the joint angles from the given end-effector coordinates is called inverse kinematics, which is a type of inverse problems.
Takehiko Ogawa, Hajime Kanada
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