Results 21 to 30 of about 1,361 (131)
, 2020 The objective of this study is to present a new modification of the reduced differential transform method (MRDTM) to find an approximate analytical solution of a certain class of nonlinear fractional partial differential equations in particular ...
A. Khalouta, A. Kadem
semanticscholar +1 more source
Unique continuation for discrete nonlinear wave equations [PDF]
, 2012 We establish unique continuation for various discrete nonlinear wave equations. For example, we show that if two solutions of the Toda lattice coincide for one lattice point in some arbitrarily small time interval, then they coincide everywhere. Moreover,
Krueger, Helge, Teschl, Gerald
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Improved time-decay for a class of scaling critical electromagnetic Schr\"odinger flows [PDF]
, 2015 We consider a Schr\"odinger hamiltonian $H(A,a)$ with scaling critical and time independent external electromagnetic potential, and assume that the angular operator $L$ associated to $H$ is positive definite.
Fanelli, Luca +2 more
core +2 more sources
On type I blow up formation for the critical NLW [PDF]
, 2013 We introduce a suitable concept of weak evolution in the context of the radial quintic focussing semilinear wave equation on $\mathbb{R}^{3+1}$, that is adapted to continuation past type II singularities.
Krieger, Joachim, Wong, Willie
core +2 more sources
Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions
Advances in Nonlinear Analysis, 2023 In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions.
Park Sun-Hye
doaj +1 more source
Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers
Forum of Mathematics, Pi, 2021 The article studies inverse problems of determining unknown coefficients in various semi-linear and quasi-linear wave equations given the knowledge of an associated source-to-solution map.
Ali Feizmohammadi +2 more
doaj +1 more source
Advances in Nonlinear Analysis, 2021 We study the wave inequality with a Hardy ...
Jleli Mohamed +2 more
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On Carleman and observability estimates for wave equations on time‐dependent domains
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019 Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley +1 more source
Existence and stability of quasi-periodic solutions for derivative wave equations [PDF]
, 2012 : In this note we present the new KAM result in [3] which proves the existence of Cantorfamilies of small amplitude, analytic, quasi-periodic solutions of derivative wave equations, with zeroLyapunov exponents and whose linearized equation is reducible ...
M. Berti, L. Biasco, M. Procesi
semanticscholar +1 more source
Multiplicity and structures for traveling wave solutions of the Kuramoto‐Sivashinsky equation
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3839-3848, 2004., 2004 The Kuramoto‐Sivashinsky (KS) equation is known as a popular prototype to represent a system in which the transport of energy through nonlinear mode coupling produces a balance between long wavelength instability and short wavelength dissipation. Existing numerical results indicate that the KS equation admits three classes (namely, regular shock ...
Bao-Feng Feng
wiley +1 more source