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As his therapist was checking off the symptoms, I went into a cold sweat: great difficulty reading, reading things backward, problems with vowel sounds.
Also, integral boundary conditions are applied to regularize ill-posed parabolic backward problems in time partial differential equations, see, for example, mathematical models for bacterial self-regularization [8].
To the best of the authors' knowledge, although there are many works on several types of parabolic backward problems, the theoretical literature on regularizing the inverse problems for ultraparabolic equations is very scarce.
Also, ill-posed parabolic backward problems in time partial differential equations can be regularized with the aid of integral boundary conditions; see, for example, mathematical models for bacterial self-regularization [10].
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In Section 2, we state the backward problem for the axisymmetric BHCP.
Since (1.1) is a degenerate backward problem, we transform it into a familiar forward nondegenerate parabolic variational inequality problem; so letting (1.3).
In [25], Liu and Yamamoto used the quasi-reversibility method to solve a backward problem for a time-fractional diffusion equation in the one-dimensional case.
For the reason that the option pricing is a backward problem, the initial condition is begin{aligned} V(S_{1},S_{2},T)=S_{2}cdot max {S_{1}-K,0}.
In [27], Wang solved a backward problem for a time-fractional diffusion equation with variable coefficients in a general bounded domain by the Tikhonov regularization method.
In [12], the authors applied a quasi-reversibility regularization method to solve a backward problem for the time-fractional diffusion equation.
However, the robot using the new gait has lower gravity fluctuation in displacement and velocity without halt or backward problem, and the decreasing of motion speed leads to the increasing of the gravity fluctuation and the toe-force.
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CEO of Professional Science Editing for Scientists @ prosciediting.com