Results 11 to 20 of about 1,170 (90)
H\"older regularity for Maxwell's equations under minimal assumptions on the coefficients [PDF]
Calc. Var. Partial Differential Equations, 57(3), 71, 2018, 2018 We prove global H\"older regularity for the solutions to the time-harmonic anisotropic Maxwell's equations, under the assumptions of H\"older continuous coefficients. The regularity hypotheses on the coefficients are minimal. The same estimates hold also
Alberti, Giovanni S.
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Well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices [PDF]
arXiv, 2003 We prove that, the initial value problem associated to u_{t} + i\alphau_{xx} + \beta u_{xxx} + i\gamma |u|^{2}u = 0, x,t \in R, is locally well-posed in Sobolev spaces H^{s} for s>-1 ...
Carvajal, Xavier
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On a system of multi-component Ginzburg-Landau vortices
Advances in Nonlinear Analysis, 2023 We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
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Normalized multi-bump solutions for saturable Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we are concerned with the existence of multi-bump solutions for a class of semiclassical saturable Schrödinger equations with an density function:
Wang Xiaoming, Wang Zhi-Qiang
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Advanced Nonlinear Studies, 2020 In this paper, we study the existence of ground state solutions for the nonlinear Schrödinger–Bopp–Podolsky system with critical Sobolev ...
Li Lin, Pucci Patrizia, Tang Xianhua
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Born‐infeld electrodynamics: Clifford number and spinor representations
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 2, Page 77-84, 2002., 2002 The Clifford number formalism for Maxwell equations is considered. The Clifford imaginary unit for space‐time is introduced as coordinate independent form of fully antisymmetric fourth‐rank tensor. The representation of Maxwell equations in massless Dirac equation form is considered; we also consider two approaches to the invariance of Dirac equation ...
Alexander A. Chernitskii
wiley +1 more source
Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations
Advanced Nonlinear Studies, 2019 We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. The constructed solutions are mildly localized as they lie in the essential spectrum of the corresponding linear ...
Mandel Rainer
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Iterative solution of quadratic tensor equations for mutual polarisation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 5, Page 301-312, 2002., 2002 To describe mutual polarisation in bulk materials containing high polarisability molecules, local fields beyond the linear approximation need to be included. A second order tensor equation is formulated, and it describes this in the case of crystalline or at least locally ordered materials such as an idealised polymer. It is shown that this equation is
Wynand S. Verwoerd
wiley +1 more source
The true story of the Quantum Ergodic Theorem [PDF]
arXiv, 2023 The story on the early days of the Quantum Ergodic Theorem. Alternative proof, underlying heuristics, physical analogies and interpretations.
arxiv
Alexandria Engineering Journal, 2021 This research is based on three main pillars which are studying the computational solutions of the modified Benjamin–Bona–Mahony (BBM) equation via the modified Khater method then investigating the stability property of the obtained solutions through the
Mostafa M.A. Khater +4 more
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