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Topological Quasilinear Spaces [PDF]
Abstract and Applied Analysis, 2012 We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear
Yılmaz Yılmaz +2 more
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Weighted $L^p$-type regularity estimates for nonlinear parabolic equations with Orlicz growth
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper we obtain the following weighted $L^p$-type regularity estimates $$ B\left(\left|\mathbf{f}\right|\right)\in L^{q}\left(\nu, \nu+T; L^q_w(\Omega) \right) \ \mbox{locally} \Rightarrow B\left(\left|\nabla u\right|\right)\in L^{q}\left ...
Fengping Yao
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Comparison of Saturation Rules Used for Gyrokinetic Quasilinear Transport Modeling
Plasma, 2023 Theory-based transport modeling has been widely successful and is built on the foundations of quasilinear theory. Specifically, the quasilinear expression of the flux can be used in combination with a saturation rule for the toroidal mode amplitude. Most
Scott E. Parker +4 more
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Temporal variability of quasi-linear pitch-angle diffusion
Frontiers in Astronomy and Space Sciences, 2022 Kinetic wave-particle interactions in Earth’s outer radiation belt energize and scatter high-energy electrons, playing an important role in the dynamic variation of the extent and intensity of the outer belt.
Clare E. J. Watt +14 more
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Improved Hille-Type Oscillation Criteria for Second-Order Quasilinear Dynamic Equations
Mathematics, 2022 In this work, we develop enhanced Hille-type oscillation conditions for arbitrary-time, second-order quasilinear functional dynamic equations. These findings extend and improve previous research that has been published in the literature.
Taher S. Hassan +3 more
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Hamiltonian formulations of quasilinear theory for magnetized plasmas
Frontiers in Astronomy and Space Sciences, 2022 Hamiltonian formulations of quasilinear theory are presented for the cases of uniform and nonuniform magnetized plasmas. First, the standard quasilinear theory of Kennel and Engelmann (Kennel, Phys. Fluids, 1966, 9, 2377) is reviewed and reinterpreted in
Alain J. Brizard, Anthony A. Chan
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Nonpolynomial B-spline collocation method for solving singularly perturbed quasilinear Sobolev equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this paper, a singularly perturbed one-dimensional initial boundary value problem of a quasilinear Sobolev-type equation is presented. The nonlinear term of the problem is linearized by Newton’s linearization method.
F. Edosa Merga, G. File Duressa
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Oscillation Criteria for Qusilinear Even-Order Differential Equations
Mathematics, 2023 In this study, we extended and improved the oscillation criteria previously established for second-order differential equations to even-order differential equations. Some examples are given to demonstrate the significance of the results accomplished.
Mnaouer Kachout +4 more
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Advances in Nonlinear Analysis, 2021 We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coefficients have a “butterfly support”: this allows
Leonardi Salvatore +3 more
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On Soft Normed Quasilinear Spaces
Journal of New Theory, 2023 In this study, we investigate some properties of soft quasi-sequences and present new results. We then study the completeness of soft normed quasilinear space and present an analog of convergence and boundness results of soft quasi sequences in soft ...
Hacer Bozkurt, Fatma Bulak
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