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Qualitative aspects of the quasistationary electromagnetic field [PDF]

Journal of Electrical and Electronics Engineering, 2009
The paper proposes some properties of theelectromagnetic field magnitudes so that theuniqueness and existence theorems may beformulated. The field equations are written asdistribution. The constitutive relation may be nonlinear.
Mircea ARION, Lucian OCHEANA, Florea HANTILA, Gabriel CHEREGI, Gabriel BARBU   +4 more
doaj  

Existence and uniqueness of solutions of SDEs with discontinuous drift and finite activity jumps [PDF]

Statistics and Probability Letters, 2020
In this letter we prove existence and uniqueness of strong solutions to multi-dimensional SDEs with discontinuous drift and finite activity jumps.
Paweł Przybyłowicz, Michaela Szölgyenyi, Fanhui Xu   +2 more
semanticscholar   +1 more source

Existence and Uniqueness Study of the Conformable Laplace Transform

Journal of Mathematics, 2022
This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform.
Jihad Younis, Bouchenak Ahmed, Mazin AlJazzazi, Rasha Al Hejaj, Hassen Aydi   +4 more
doaj   +1 more source

Existence and uniqueness results for a nonlinear stationary system [PDF]

, 2003
We prove a few existence results of a solution for a static system with a coupling of thermoviscoelastic type. As this system involves $L^1$ coupling terms we use the techniques of renormalized solutions for elliptic equations with $L^1$ data.
Guibé, Olivier
core   +3 more sources

Logarithmic double phase problems with convection: existence and uniqueness results

Communications on Pure and Applied Analysis
. In this paper, we deal with a problem driven by a logarithmic double phase operator with variable exponent and a nonlinearity on the right-hand side which also depends on the gradient of the solution.
F. Vetro, Patrick Winkert
semanticscholar   +1 more source

Mean field games with common noise [PDF]

, 2015
A theory of existence and uniqueness is developed for general stochastic differential mean field games with common noise. The concepts of strong and weak solutions are introduced in analogy with the theory of stochastic differential equations, and ...
Carmona, Rene, Delarue, Francois, Lacker, Daniel   +2 more
core   +4 more sources

Existence and uniqueness of elliptic systems with double phase operators and convection terms [PDF]

Journal of Mathematical Analysis and Applications, 2020
In this paper we study quasilinear elliptic systems driven by so-called double phase operators and nonlinear right-hand sides depending on the gradients of the solutions.
G. Marino, Patrick Winkert
semanticscholar   +1 more source

Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems [PDF]

Communications on Pure and Applied Mathematics, 2020
For a given finite subset S of a compact Riemannian manifold (M,g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on M\S such that each ...
Yanyan Li, Luc Nguyen
semanticscholar   +1 more source

Existence and Uniqueness of Solutions for Impulsive Stochastic Differential Variational Inequalities with Applications

Axioms
This paper focuses on exploring an impulsive stochastic differential variational inequality (ISDVI), which combines an impulsive stochastic differential equation and a stochastic variational inequality. Innovatively, our work incorporates two key aspects:
Wei Liu, Kui Liu
doaj   +1 more source

Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem

International Journal of Differential Equations, 2013
We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data.
B. K. Bonzi, S. Ouaro, F. D. Y. Zongo
doaj   +1 more source