Results 71 to 80 of about 275,930 (166)

Analyticity of solutions for quasilinear wave equations and other quasilinear systems [PDF]

arXiv, 2012
We prove the persistence of analyticity for classical solution of the Cauchy problem for quasilinear wave equations with analytic data. Our results show that the analyticity of solutions, stated by the Cauchy-Kowalewski and Ovsiannikov-Nirenberg theorems, lasts till a classical solution exists.
arxiv  

Calderón-Zygmund estimates for Schrödinger equations revisited

Mathematical Modelling and Analysis
We establish a global Calderón-Zygmund estimate for a quasilinear elliptic equation with a potential. If the potential has a reverse Hölder property, then the estimate was known in [6].
Le Xuan Truong, Nguyen Ngoc Trong, Tan Duc Do   +2 more
doaj   +1 more source

Standing wave solutions of a quasilinear degenerate Schrödinger equation with unbounded potential

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We are concerned with the existence of entire distributional nontrivial solutions for a new class of nonlinear partial differential equations. The differential operator was introduced by A. Azzolini et al.
Nejmeddine Chorfi, Vicenţiu Rădulescu
doaj   +1 more source

Global existence for a quasilinear wave equation outside of star-shaped domains [PDF]

arXiv, 2000
We establish global existence in 3+1 dimensions of small-amplitude solutions of quasilinear Dirichlet-wave equations satisfying the null condition outside of star-shapped obstacles.
arxiv  

Orbital stability of standing wave solution for a quasilinear Schrödinger equation [PDF]

arXiv, 2007
Via minimization arguments and Concentration Compactness Principle, we prove the orbital stability of standing wave solutions for a class of quasilinear Schr\"{o}dinger equation arising from physics.
arxiv  

Propagation and interaction of shock waves of quasilinear equation [PDF]

arXiv, 2000
We propose a new regularization method for constructing a shock wave type solution with nonsmooth front (interaction of shock waves) for quasilinear equations in the one-dimensional case.
arxiv  

From Modified Newtonian Dynamics to Superfluid Vacuum Theory. [PDF]

Entropy (Basel), 2022
Scott TC.
europepmc   +1 more source

Multiplicity of Positive Solutions for a Quasilinear Schrödinger Equation with an Almost Critical Nonlinearity

Advanced Nonlinear Studies, 2020
In this paper we prove an existence result of multiple positive solutions for the following quasilinear problem:
Figueiredo Giovany M., Severo Uberlandio B., Siciliano Gaetano   +2 more
doaj   +1 more source

Separable solutions of some quasilinear equations with source reaction [PDF]

arXiv, 2007
We study the existence of singular separable solutions to a class of quasilinear equations with reaction term. In the 2-dim case, we use a dynamical system approach to construct our solutions.
arxiv  

Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials [PDF]

, 2022
Marino Badiale, Michela Guida, Sergio Rolando   +2 more
openalex   +1 more source