Results 91 to 100 of about 148 (138)
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
Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
A NOTE ON HILBERT TYPE INEQUALITY
Tamkang Journal of Mathematics, 1998 In the present note we establish a new Hilbert type inequality mvolving sequences of real numbers. An integral analogue of the main result is also given.
openaire +3 more sources
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli +3 more
wiley +1 more source
Generalization of Hilbert's integral inequality
, 2010 Summary: We make some further generalization of well known Hilbert's inequality and its equivalent form in two dimensional case. Many other results of this type in recent years follows as a special case of our results.
CASTILLO, RENÉ ERLIN +1 more
openaire +3 more sources
Short note on Hilbert’s inequality
Journal of the Egyptian Mathematical Society, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
The Clinical, Philosophical, Evolutionary and Mathematical Machinery of Consciousness: An Analytic Dissection of the Field Theories and a Consilience of Ideas. [PDF]
Cureus, 2020 Kesserwani H.
europepmc +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
Higher-Order Linearization and Regularity in Nonlinear Homogenization. [PDF]
Arch Ration Mech Anal, 2020 Armstrong S, Ferguson SJ, Kuusi T.
europepmc +1 more source