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Monitoring neutrophil-to-lymphocyte ratio dynamics for personalized treatment in adolescent eating disorders: a retrospective cohort study. [PDF]
Inagawa Y+10 more
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Comprehensive intuitionistic fuzzy network data envelopment analysis incorporating undesirable outputs and shared resources. [PDF]
Sahil MA, Lohani QMD.
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Point control: approximations of parabolic problems and pseudo parabolic problems
Applicable Analysis, 1981We consider quadratic control problems in which the underlying equation is of parabolic or pseudo-parabolic type and the distributed control is a Dirac-like function. The following approximating properties are studied i) the equation is fixed and the controls converge to a delta function and ii) the type of control is fixed and the pseudo-parahollc ...
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Elliptic and Parabolic Problems
2016In this chapter we prove maximal Lp-regularity for various linear parabolic and elliptic problems. These results will be crucial for our study of quasilinear parabolic problems, including those introduced in Chapter 1.
Jan Prüss, Gieri Simonett
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The Semilinear Parabolic Problem
2020In the present chapter, we rely on the crucial results of Chap. 2 to develop well-posedness results in the same spirit of Rothe where second order elliptic operators in divergence form have been considered for the classical parabolic problem (α = 1).
Ciprian G. Gal, Mahamadi Warma
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1998
Click on the DOI link to access the article (may not be free). ; In this chapter, we consider the second-order parabolic equation (9.0.1) a0∂tu − div(a∇u) + b · ∇u + cu = f in Q = Ω × (0, T), where Ω is a bounded domain the space Rn with the C2-smooth boundary ∂Ω.
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Click on the DOI link to access the article (may not be free). ; In this chapter, we consider the second-order parabolic equation (9.0.1) a0∂tu − div(a∇u) + b · ∇u + cu = f in Q = Ω × (0, T), where Ω is a bounded domain the space Rn with the C2-smooth boundary ∂Ω.
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The obstacle problem for parabolic minimizers
Journal of Evolution Equations, 2017We prove an existence result for parabolic minimizers of convex variational functionals with p-growth and irregular obstacles. In particular, the obstacle might be unbounded, discontinuous and satisfy no regularity assumption with respect to the time variable.
Bögelein, Verena+2 more
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2018
A generic non-linear parabolic model which includes both Richards’ model describing the flow of water in a heterogeneous anisotropic underground medium, and Stefan’s model which arises in the study of a simplified heat diffusion in a melting medium.
Jérôme Droniou+4 more
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A generic non-linear parabolic model which includes both Richards’ model describing the flow of water in a heterogeneous anisotropic underground medium, and Stefan’s model which arises in the study of a simplified heat diffusion in a melting medium.
Jérôme Droniou+4 more
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Symmetrization in parabolic neumann problems
Applicable Analysis, 1991We consider the Cauchy-Neumann problem for parabolic operators of the kind: on a smooth cylinder [0,T]×Ω. By symmetrization techniques we establish for the solution u of this problem an estimate of the kind: where U is the solution of a symmetrized problem and u(t)*(·) is the decreasing rearrangement of u(t,.).
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