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The initial results showed that the PFE needed a different method to regularize.
One method to regularize the problem is to introduce a length scale parameter via the nonlocal formulation.
In the phase of ill-posed ultraparabolic problems, the authors Zouyed and Rebbani very recently proposed in [7] the modified quasi-boundary value method to regularize the solution of problem (1) in the homogeneous backward case (fequiv0).
(1.3) In this present paper, we will apply the QBV method with some modification, the so-called modified quasi-boundary value (MQBV) method to regularize problem (1.1) to obtain the Hölder-type estimation.
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One kind of these methods is to regularize such a model by smoothing out the corners at the ceilings and the floors without substantially modifying the assumptions of the model, but including some realistic situations.
Current reconstruction techniques typically involve the employment of optimization methods or additional constraints to regularize the problem, but these methods are not without their flaws as they may be sub-optimally applied and produce inadequate results.
Trong and Tuan in [12] used the method of integral equation to regularize backward heat conduction problem and get some error estimates.
The failure to regularize formal method of remuneration for CMs as well as high cost of registration fees paid by CMs to regulatory bodies, has resulted in unregulated and arbitrary charges of clients for services provided.
The concept of a unique invariant common prior is used to regularize the estimation method, and proven to converge using the Method of Successive Averages.
Recently, Yuan and Li [17] have developed a logarithmic quadratic proximal (LQP -based decomposition method by appLQP -basedLQP terms to regularize the Adecompositions.
Besides that, a method based on Gaussian filtering was introduced to regularize the level set function in order to avoid the costly re-initialization method.
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