Latest Research in Nonlinear Partial Differential Equations

479 research papers · 0.0 average citations · 2026 median publication year

Top Research Topics in Nonlinear Partial Differential Equations

Highest-Cited Papers

  1. Corrected zero-lag endpoints for exponentially weighted smoothers: quadratic exactness and overshoot-minimised damping (2 citations)
  2. Gevrey regularity and summability of the formal solutions in time of some inhomogeneous linear systems of partial differential equations (1 citations)
  3. Well-Posedness Of Second-Order Evolution Equations With Non-Integrable And Degenerate Coefficients In Weighted Lp-Spaces
  4. Analytical Study of Impulsive Hilfer-Type Fractional p-Laplacian Problems Using Neural Networks and Finite-Difference Methods
  5. Lie Symmetry Analysis, Conservation Laws and Stability Analysis for the Nonhomogeneous Monge–ampère equation
  6. Unique Bernoulli Gibbs states and g -measures
  7. A Constructive Framework for Generalized Fourier Transforms via Truncate-and-Generalized Limits
  8. Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation
  9. A spectral approach to the narrow escape problem in two-dimensional domains
  10. An Explicit Logistic Damping Criterion for Boundedness in a Fully Parabolic Keller--Segel System
  11. Sharp regularity for the periodic Camassa--Holm equation in critical Triebel--Lizorkin spaces
  12. Inverting the operation of conditioning a branching process on extinction
  13. The Closed Range Property and Gaffney's Inequality of the De Rham Complex in Unbounded Domains
  14. Causal Resolvent Rough Lifts under Nondominated Martingale Laws: Gaussian-Tail Cores and Conditional Wong--Zakai Transfer
  15. Cluster-Cluster model in $\mathbb{Z}^d$
  16. Second-order fluctuations for a phase transition in random partitions
  17. Large-time behavior and grow-up rates of inhomogeneous semilinear heat equations
  18. Coincidence criteria and junction obstructions for two partially segregated elliptic systems
  19. Mean-Field Doubly Reflected Forward-Backward SDEs with Optional Barriers and $L^p$-Data
  20. Liouville-type theorems for coupled-drift Monge-Ampère equations
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2026 AUG Q1

Nonlinear Partial Differential Equations

479 papers

Top Topics (10)

Analysis of PDEs153
Probability81
Nonlinear Partial Differential Equations27
Numerical Analysis18
Dynamical Systems14
Nonlinear Differential Equations Analysis13
Differential Equations and Boundary Problems9
Mathematical Physics9
Classical Analysis and ODEs9
Functional Analysis8

Top Publications (20)

1.Corrected zero-lag endpoints for exponentially weighted smoothers: quadratic exactness and overshoot-minimised damping2c2.Gevrey regularity and summability of the formal solutions in time of some inhomogeneous linear systems of partial differential equations1c3.Well-Posedness Of Second-Order Evolution Equations With Non-Integrable And Degenerate Coefficients In Weighted Lp-Spaces4.Analytical Study of Impulsive Hilfer-Type Fractional p-Laplacian Problems Using Neural Networks and Finite-Difference Methods5.Lie Symmetry Analysis, Conservation Laws and Stability Analysis for the Nonhomogeneous Monge–ampère equation6.Unique Bernoulli Gibbs states and <i>g</i> -measures7.A Constructive Framework for Generalized Fourier Transforms via Truncate-and-Generalized Limits8.Khinchin's and Chung's Laws of the Iterated Logarithm at Time Zero for the Linear Stochastic Fractional Diffusion Equation9.A spectral approach to the narrow escape problem in two-dimensional domains10.An Explicit Logistic Damping Criterion for Boundedness in a Fully Parabolic Keller--Segel System11.Sharp regularity for the periodic Camassa--Holm equation in critical Triebel--Lizorkin spaces12.Inverting the operation of conditioning a branching process on extinction13.The Closed Range Property and Gaffney's Inequality of the De Rham Complex in Unbounded Domains14.Causal Resolvent Rough Lifts under Nondominated Martingale Laws: Gaussian-Tail Cores and Conditional Wong--Zakai Transfer15.Cluster-Cluster model in $\mathbb{Z}^d$16.Second-order fluctuations for a phase transition in random partitions17.Large-time behavior and grow-up rates of inhomogeneous semilinear heat equations18.Coincidence criteria and junction obstructions for two partially segregated elliptic systems19.Mean-Field Doubly Reflected Forward-Backward SDEs with Optional Barriers and $L^p$-Data20.Liouville-type theorems for coupled-drift Monge-Ampère equations
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