A5100300386- Mathematical Dynamics and Fractals
- Nonlinear Partial Differential Equations
- Advanced Mathematical Physics Problems
- Spectral Theory in Mathematical Physics
- advanced mathematical theories
- Geomagnetism and Paleomagnetism Studies
- Graph theory and applications
- Biomedical Research and Pathophysiology
- Advanced Harmonic Analysis Research
- Digital Image Processing Techniques
- Genetic and Kidney Cyst Diseases
- Simulation and Modeling Applications
- Quantum chaos and dynamical systems
- Atomic and Subatomic Physics Research
- Particle Detector Development and Performance
- Medical and Biological Sciences
- Matrix Theory and Algorithms
- Dark Matter and Cosmic Phenomena
- Geochemistry and Elemental Analysis
- Computability, Logic, AI Algorithms
- Cancer, Hypoxia, and Metabolism
- Advanced Differential Equations and Dynamical Systems
- Black Holes and Theoretical Physics
- Differential Equations and Boundary Problems
Shandong Normal University
2024
Air Force Engineering University
2024
Jiangxi Maternal and Child Health Hospital
2021
Our aim of this paper is to study qualitative properties isolated singular solutions Choquard equation \begin{equation}\label{eq 0.1} -\Delta u+ u =I_\alpha[u^p] u^q+k\delta_0\quad {\rm in}\ \, \mathcal{D}'(\mathbb{R}^N), \tag{0.1} \end{equation} where $p, q\ge 1$, $N\ge2$, $\alpha\in(0,N)$, $k > 0$, $\delta_0$ the Dirac mass concentrated at origin and $I_\alpha[u^p](x)=\int_{\mathbb{R}^N} \frac{u(y)^p}{|x-y|^{N-\alpha}}\, dy.$ Multiple very weak (0.1) are considered: (i) obtain existence...
Equipment system modeling is the premise of equipment analysis and evaluation, rationality scientificity directly affect determination development direction system. Based on DoDAF2.0 description, a high-level operational concept diagram model (OV-1), capability vision (CV-1), classification (CV-2) capabilityoperational mapping matrix (CV-6) anti-missile are constructed to provide scientific reliable for planning, demonstration effectiveness evaluation
Let $ K be a compact subset of the $d$-torus invariant under an expanding diagonal endomorphism with s distinct eigenvalues. Suppose symbolic coding $K$ satisfies weak specification. When \leq 2 $, we prove that following three statements are equivalent: (A) Hausdorff and box dimensions coincide; (B) respect to some gauge function, measure is positive finite; (C) dimension maximal entropy on attains $. \geq 3 find examples in which does not hold but holds, new phenomenon appearing planar...
In this article, we study regularity of weak solutions to a class nonlinear parabolic equations in divergence form. The main purpose is present estimate with more general conditions on coefficients, N-functions and non-homogeneous terms the fractional Sobolev spaces. By deriving higher integrability solutions, obtain desired estimate. addition, results article expand theory spaces Besov