Results 31 to 40 of about 1,854 (206)
$C^{1,\alpha}$ regularity for elliptic equations with the general nonstandard growth conditions [PDF]
We study elliptic equations with the general nonstandard growth conditions involving Lebesgue measurable functions on $\Omega$. We prove the global $C^{1, \alpha}$ regularity of bounded weak solutions of these equations with the Dirichlet boundary ...
Sungchol Kim, Dukman Ri
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ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
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Inverse problems of parameter recovery in differential equations with multiple characteristics
The work is devoted to the study of the solvability in Sobolev spaces of nonlinear inverse coefficient problems for differential equations of the third order with multiple characteristics.In this paper, alongside with finding the solution of one or ...
A. I. Kozhanov +2 more
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Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
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ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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Numerical Modeling Tools and S-derivatives
Numerical study of various processes leads to the need of clarification (extensions) of the limits of applicability of computational constructs and modeling tools.
Anatoly Nikolaevich Morozov
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Conditional Generative Modeling for Enhanced Credit Risk Management in Supply Chain Finance
ABSTRACT The rapid expansion of cross‐border e‐commerce (CBEC) has created significant opportunities for small‐ and medium‐sized sellers, yet financing remains a critical challenge due to their limited credit histories. Third‐party logistics (3PL)‐led supply chain finance (SCF) has emerged as a promising solution, leveraging in‐transit inventory as ...
Qingkai Zhang, L. Jeff Hong, Houmin Yan
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On a Lebesgue constant of interpolation rational process at the Chebyshev – Markov nodes
In the present paper estimate of a Lebesgue constant of the interpolation rational Lagrange process on the segment [−1 ,1] at the Chebyshev – Markov cosine fractions nodes is considered.
Yauheni A. Rouba +2 more
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A priori estimates of global solutions of superlinear parabolic systems
We consider the parabolic system $ u_{t}-\Delta u = u^{r}v^{p}$, $v_{t}-\Delta v = u^{q}v^{s}$ in $\Omega\times(0,\infty)$, complemented by the homogeneous Dirichlet boundary conditions and the initial conditions $(u,v)(\cdot,0) = (u_{0},v_{0})$ in ...
Július Pačuta
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On Computational Constructions in Function Spaces
Numerical study of various processes leads to the need for clarification (extensions) of the limits of applicability of computational constructs and modeling tools.
Anatoly Morozov
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