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Showing papers in "Journal of Functional Analysis in 2022"


Journal ArticleDOI
TL;DR: In this article , the authors considered the nonlinear Schrödinger equations with mixed nonlinearities and proved the existence of solutions of mountain-pass type for N ≥ 3 and 2

22 citations


Journal ArticleDOI
Yu, Ji1
TL;DR: In this paper , the authors established the stability of solutions to the entropically regularized optimal transport problem with respect to the marginals and the cost function, and obtained the wellposedness of the solution in this geometric sense, even when all transports have infinite cost.

12 citations


Journal ArticleDOI
TL;DR: In this paper , the authors studied the spreading speeds and traveling waves of time-space periodic cooperative systems in multi-dimensional media and proved that such a system admits a single spreading speed (resp. asymptotic spreading ray speed) under certain conditions.

9 citations


Journal ArticleDOI
TL;DR: In this article , the authors examined the phenomenon of enhanced dissipation from the perspective of Hörmander's classical theory of second order hypoelliptic operators, and showed that decay is enhanced on the timescale T∼ν−(N+1)/(n+3), where N is the maximal order of vanishing of the derivative b′(y) of the shear profile and N=0 for monotone shear flows.

9 citations


Journal ArticleDOI
TL;DR: In this paper , the existence of ground states for the nonlinear Schrödinger Equation on star graphs with two subcritical focusing nonlinear terms: a standard power nonlinearity, and a delta-type non-linearity located at the vertex was investigated.

9 citations


Journal ArticleDOI
TL;DR: In this article , it was shown that a Radon measure is P h -rectifiable if it has positive h -lower density and finite h -upper density almost everywhere, and, at almost every point, it admits a unique tangent measure up to multiples.

9 citations


Journal ArticleDOI
TL;DR: In particular, the corresponding Hamiltonian system is completely solvable and the characteristic curve describing the support of the Brown measure has a non-constant (in time) argument as discussed by the authors .

9 citations


Journal ArticleDOI
TL;DR: In this paper , Huang, Nualart, and Viitasaari used the Malliavin-Stein method to prove that the random field x ↦ u (t, x ) / p t (x ) is ergodic for every t > 0.

8 citations


Journal ArticleDOI
TL;DR: In this article , the authors studied the well-posedness and long-term behavior of the non-autonomous random wave equations driven by nonlinear colored noise on Rn with n ≥ 5.

8 citations


Journal ArticleDOI
TL;DR: In this paper , a family of inhomogeneous and fully anisotropic weak N-functions M:Ω×Rn→[0,∞] that generate function spaces of Musielak-Orlicz-Sobolev type is described.

8 citations


Journal ArticleDOI
TL;DR: In this paper , the authors studied the surface quasi-geostrophic equation with an irregular spatial perturbation, and they proved existence of infinitely many analytically weak solutions in Llocp(0,∞;B∞,1−1/2)∩Cb([0, ∞);B ∞, 1− 1/2−δ)∦Cb1([0.

Journal ArticleDOI
TL;DR: In this paper , the authors studied the relationship between a type of recurrence and the corresponding notion of hypercyclicity, the influence of power boundedness, and the interplay between recurrences and spectral properties.

Journal ArticleDOI
TL;DR: In this article , the authors show that the protagonists of time-frequency analysis are metaplectic operators and symplectic matrices A∈Sp(2d,R) and find conditions on A for which the related symplectic timefrequency representation WA can replace the Short-time Fourier Transform (STFT) and give equivalent norms for weighted modulation spaces.

Journal ArticleDOI
Dongbing Zha1
TL;DR: In this paper, for two-dimensional and one-dimensional systems of semilinear wave equations satisfying null conditions, the global nonlinear stability of some solutions with suitable decay properties was shown.

Journal ArticleDOI
TL;DR: Theorem 1.1 as mentioned in this paper establishes the space-like strong unique continuation for nonlocal equations of the type (∂t−Δ)su=Vu, for 0 < s < 1.

Journal ArticleDOI
TL;DR: In this article , the authors considered the passive scalar equations subject to shear flow advection and fractional dissipation, and derived enhanced dissipation estimates for the two types of equations.

Journal ArticleDOI
TL;DR: In this paper , the Schr\"odinger equation with initial data in modulation spaces via decoupling inequalities was shown to have sharpness up to the endpoint regularity in a certain range.

Journal ArticleDOI
TL;DR: In this article, Huang, Nualart, and Viitasaari used the Malliavin-Stein method to prove that the random field x ↦ u (t, x ) / p t (x ) is ergodic for every t > 0.

Journal ArticleDOI
TL;DR: In this paper , the authors consider an elliptic self-adjoint pseudodifferential operator A acting on m-columns of half-densities on a closed manifold M, whose principal symbol is assumed to have simple eigenvalues.

Journal ArticleDOI
TL;DR: In this article, the authors studied the Schwarz-Pick type inequalities for harmonic or pluriharmonic functions and established some sharp coefficient type Schwarz-pick inequalities for the Minkowski space.

Journal ArticleDOI
TL;DR: In this article, the spectral properties of a class of Sierpinski-type self-affine measures were studied and a necessary and sufficient condition for μ M, D to be a spectral measure was established.

Journal ArticleDOI
TL;DR: In this paper , the authors established atomic decompositions and characterizations in terms of wavelets for Besov-Lorentz spaces BqsLp,r(Rn) and for Triebel-Lizorkin-Lysysobolev spaces FqsLP, r(rn) in the whole range of parameters.

Journal ArticleDOI
TL;DR: In this paper , the spectral properties of a class of Sierpinski-type self-affine measures were studied and a necessary and sufficient condition for μ M , D to be a spectral measure was established.

Journal ArticleDOI
TL;DR: In this article , the authors completely characterize L p − L q boundedness of two classes of Forelli-Rudin type operators on the unit ball of C n for all (p, q ) ∈ [ 1, ∞ ] × [ 1 , ∞] .

Journal ArticleDOI
TL;DR: In this article , the authors studied the relationship between the residuality of the set of norm attaining functionals on a Banach space and the residual and denseness of the sets of norm-attaining operators between Banach spaces.

Journal ArticleDOI
TL;DR: In this paper , the authors considered a target random variable Y ∼VGc(r, θ,σ) distributed according to a centered Variance-Gamma distribution and established a nonasymptotic optimal bound on the distance between F and Y in terms of the maximum difference of the first six cumulants.

Journal ArticleDOI
TL;DR: In this article , the authors studied the convergence of linear differential operators of constant rank in the H\"older space and showed that for any constant-rank linear differential operator, the H''older space is a weak convergence space.

Journal ArticleDOI
TL;DR: In this article , a first order upper bound for the correlation energy with an optimal error term of the order O(ρ7/3) in the thermodynamic limit was derived.

Journal ArticleDOI
TL;DR: In this article , the effect of diffusion and frequency on the principal eigenvalue of linear time-periodic parabolic operators with zero Neumann boundary conditions was studied and the asymptotic profiles of endemic periodic solutions were determined when the diffusion rate of susceptible population is small.

Journal ArticleDOI
TL;DR: In this article , the authors considered the large data scattering problem for the 2D and 3D cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime.