Results 11 to 20 of about 505,814 (316)

Principal eigenvalue problem for infinity Laplacian in metric spaces

Advanced Nonlinear Studies, 2022
This article is concerned with the Dirichlet eigenvalue problem associated with the ∞\infty -Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic
Liu Qing, Mitsuishi Ayato
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SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS [PDF]

Journal of the Korean Mathematical Society, 2003
We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure.
Gaussier, Hervé, Merker, Joel
openaire   +6 more sources

On the α−ψ−Contractive Mappings in C∗-Algebra Valued b-Rectangular Metric Spaces and Fixed Point Theorems

European Journal of Mathematical Analysis, 2022
This present paper extends a version of α−ψ−contraction in C∗-algebra valued rectangular b-metric spaces and establishing the existence and uniqueness of fixed point for them.
Mohamed Rossafi, Abdelkarim Kari, Hafida Massit   +2 more
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Longterm existence of solutions of a reaction diffusion system with non-local terms modeling an immune response—An interpretation-orientated proof

Partial Differential Equations in Applied Mathematics, 2022
This paper shows the global existence and boundedness of solutions of a reaction diffusion system modeling liver infections. The existence proof is presented step by step and the focus lies on the interpretation of intermediate results in the context of ...
Cordula Reisch, Dirk Langemann
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Well-Posedness of a Class of Radial Inhomogeneous Hartree Equations

Mathematics, 2023
The present paper investigates the following inhomogeneous generalized Hartree equation iu˙+Δu=±|u|p−2|x|b(Iα∗|u|p|·|b)u, where the wave function is u:=u(t,x):R×RN→C, with N≥2.
Saleh Almuthaybiri, Radhia Ghanmi, Tarek Saanouni   +2 more
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On convergence of explicit finite volume scheme for one-dimensional three-component two-phase flow model in porous media

Demonstratio Mathematica, 2021
In this work, we develop and analyze an explicit finite volume scheme for a one-dimensional nonlinear, degenerate, convection–diffusion equation having application in petroleum reservoir.
Mostefai Mohamed Lamine, Choucha Abdelbaki, Cherif Bahri   +2 more
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Yudovich type solution for the two dimensional Euler-Boussinesq system with critical dissipation and general source term

AIMS Mathematics, 2023
The present article investigates the two-dimensional Euler-Boussinesq system with critical fractional dissipation and general source term. First, we show that this system admits a global solution of Yudovich type, and as a consequence, we treat the ...
Oussama Melkemi, Mohammed S. Abdo, Wafa Shammakh , Hadeel Z. Alzumi   +3 more
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On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]

Opuscula Mathematica, 2021
We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
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Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation

Electronic Research Archive, 2023
The training of artificial neural networks (ANNs) with rectified linear unit (ReLU) activation via gradient descent (GD) type optimization schemes is nowadays a common industrially relevant procedure.
Simon Eberle, Arnulf Jentzen , Adrian Riekert, Georg S. Weiss   +3 more
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Global well-posedness of some high-order focusing semilinear evolution equations with exponential nonlinearity

Advances in Nonlinear Analysis, 2018
In even space dimensions, the initial value problems for some high-order focusing semilinear evolution equations with exponential nonlinearities are considered.
Saanouni Tarek
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