Results 1 to 10 of about 193 (123)
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 11, November 2026.Abstract Physics‐based models of the earthquake cycle could be used for time‐dependent hazard assessment. For such an application, their parameters must be calibrated so that simulated earthquake sequences reproduce the statistics of past earthquakes, including recurrence statistics and magnitudes. This is challenging because the dynamics are described
Hojjat Kaveh +3 more
wiley +1 more source
Quantitative maximal L2$L^2$‐regularity for viscous Hamilton–Jacobi PDEs in 2D and Mean Field Games
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We discuss quantitative Calderón–Zygmund estimates in W2,2$W^{2,2}$ for 2D viscous Hamilton–Jacobi equations with natural growth in the gradient. We apply the result to obtain the existence of classical solutions for stationary second‐order mean field games systems in 2D with (defocusing) coupling behaving like mα$m^\alpha$ for any α>0$\alpha >
Alessandro Goffi
wiley +1 more source
Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS
Journal of the London Mathematical Society, Volume 114, Issue 5, November 2026.Abstract Marginally outer trapped surfaces (MOTS) in spacetimes are well‐known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature.
Ben Lambert, Julian Scheuer
wiley +1 more source
A Level Set Method on Particle Flow Maps
International Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.ABSTRACT Accurate interface tracking is central to numerical simulations involving moving boundaries, including multiphase flows, free‐surface dynamics, phase‐change problems, and other interface‐driven processes in computational mechanics. Although, level set methods provide a flexible implicit representation of evolving interfaces, their grid‐based ...
Jinjin He +5 more
wiley +1 more source
A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer
International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira +5 more
wiley +1 more source
Some of the next articles are maybe not open access.
Sample Paths of White Noise in Spaces With Dominating Mixed Smoothness
Banach Journal of Mathematical Analysis, 2021Felix Hummel
exaly
Boundary Value Problems of Elliptic and Parabolic Type With Boundary Data of Negative Regularity
Journal of Evolution Equations, 2021Felix Hummel
exaly
On Smoothness of Suitable Weak Solutions to the Navier-Stokes Equations
Journal of Mathematical Sciences, 2005Gregory Seregin, Vladimír Šverák
exaly