On microlocal analyticity and smoothness of solutions of first-order nonlinear PDEs

被引：0

作者：

Z. Adwan

S. Berhanu

机构：

[1] University of Texas at Brownsville,Department of Mathematics

[2] Temple University,Department of Mathematics

来源：

Mathematische Annalen | 2012年 / 352卷

关键词：

35A18; 35B65; 35F20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the microlocal analyticity and smoothness of solutions u of of the nonlinear PDE ut = f (x, t, u, ux) under some assumptions on the repeated brackets of the linearized operator and its conjugate.

引用

页码：239 / 258

页数：19

共 50 条

[31] New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs
Venturi, D.
Karniadakis, G. E.
JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (21) : 7450 - 7474
[32] Approximate Ad Hoc Parametric Solutions for Nonlinear First-Order PDEs Governing Two-Dimensional Steady Vector Fields
Markakis, M. P.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
[33] Fourier-integral-operator approximation of solutions to first-order hyperbolic pseudodifferential equations II:: Microlocal analysis
Le Rousseau, Jerome
Hoermann, Guenther
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2006, 86 (05): : 403 - 426
[34] Positive Periodic Solutions of Nonlinear First-Order Functional Difference Equations
Ma, Ruyun
Chen, Tianlan
Lu, Yanqiong
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[35] Oscillatory and monotone solutions of first-order nonlinear delay differential equations
Partsvania, Nino
Sokhadze, Zaza
GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (02) : 269 - 277
[36] Existence of periodic solutions for fully nonlinear first-order differential equations
Li, DS
Liang, YT
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (04) : 1095 - 1109
[37] Positive solutions to nonlinear first-order PBVPs with parameter on time scales
Sun, Jian-Ping
Li, Wan-Tong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1133 - 1145
[38] Numerical solutions for nonlinear elliptic problems based on first-order system
Ku, JaEun
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (07) : 601 - 609
[39] Uncountably many solutions of first-order neutral nonlinear differential equations
Dorociakova, Bozena
Kubjatkova, Martina
Olach, Rudolf
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[40] Analytical solutions of periodic motions in a first-order quadratic nonlinear system
Guopeng Zhou
Peng Jin
Fang Zhou
Xin Xia
The European Physical Journal Special Topics, 2019, 228 : 1781 - 1792

← 1 2 3 4 5 →