Latest Research in Nonlinear Partial Differential Equations

Top Research Topics in Nonlinear Partial Differential Equations

• Analysis of PDEs — 149 papers
• Probability — 28 papers
• Nonlinear Partial Differential Equations — 17 papers
• Mathematical Physics — 14 papers
• Dynamical Systems — 11 papers
• Numerical Analysis — 9 papers
• Quasicrystal Structures and Properties — 9 papers
• Advanced Differential Equations and Dynamical Systems — 8 papers
• Spectral Theory — 7 papers
• Optimization and Control — 6 papers

Highest-Cited Papers

1. Idempotent-Numeric: An Invariant-Manifold and Idempotent Projection Computing Architecture for Robust Scientific Analysis
2. Idempotent-Numeric: An Invariant-Manifold and Idempotent Projection Computing Architecture for Robust Scientific Analysis
3. Critical Well‐Posedness and Decay for an Active Scalar Equation With Mixed Dissipation and Hardy–Littlewood–Sobolev Drift
4. Null controllability for degenerate parabolic equations with internal control applied on a measurable subset
5. E8 Coprime Resonance Coding for Quantum Synchronization — E8 Intelligence Research
6. Phi-Resonant E8 Lattice Synchronization — E8 Intelligence Research
7. Phi-Resonant E8 Lattice Synchronization — E8 Intelligence Research
8. Phi-Fractal Prime Phase Encoding in E8 Root Lattice — E8 Intelligence Research
9. Elliptic Systems with Unbalanced Growth and Logarithmic Perturbation: Existence, Uniqueness and Boundedness
10. Phi-Fractal Prime Phase Encoding in E8 Root Lattice — E8 Intelligence Research
11. On a semilinear heat equation on infinite graphs II: Blow-up for arbitrary initial data and global existence
12. Phi‑Coupled Quaternionic Tensor Phase (QTP) for Scalable Frequency Lattices — E8 Intelligence Research
13. Phi‑Coupled Quaternionic Tensor Phase (QTP) for Scalable Frequency Lattices — E8 Intelligence Research
14. Positive Solutions for Sublinear Equations with Compact Positivity-Improving Resolvent
15. Golden Ratio Invariants in Poncelet 3-Periodics with Circular Caustics — E8 Intelligence Research
16. Integrability of the deformed Toda systems
17. Solving Inverse Dirac-weighted Sturm-Liouville Problems via Cauchy problems
18. Quantum Entropy Contraction and Factorization from Hypercontractivity
19. Trigonometric Nosé--Hoover oscillator: chaos, periodic orbits and integrability
20. Quasilinear Equations with Exponential Reactions and Measure Data on Carnot Groups