Found 1,785 Documents (Results 1–100)
Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability. (English) Zbl 07927392
Splitting integrators for linear Vlasov equations with stochastic perturbations. (English) Zbl 07923883
Multiplicity of solutions for a singular system with sign-changing potential. (English) Zbl 07920521
Introduction to the analysis on manifolds with conical singularities. (English) Zbl 07919533
Chatzakou, Marianna (ed.) et al., Modern problems in PDEs and applications. Extended abstracts of the 2023 GAP Center summer school, Ghent, Belgium, August 23 – September 2, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 4, 105-118 (2024).
The Hardy constant: a review. (English) Zbl 07919524
Chatzakou, Marianna (ed.) et al., Modern problems in PDEs and applications. Extended abstracts of the 2023 GAP Center summer school, Ghent, Belgium, August 23 – September 2, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 4, 3-11 (2024).
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems. (English) Zbl 07919124
Corrigendum to: “Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results”. (English) Zbl 07896321
Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results. (English) Zbl 07896320
Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 5, 1289-1321 (2024); corrigendum ibid. 41, No. 5, 1323-1324 (2024).
Generating quantum channels. (English. Russian original) Zbl 07881427
Proc. Steklov Inst. Math. 324, 75-85 (2024); translation from Tr. Mat. Inst. Steklova 324, 83-94 (2024).
Nonlocal problems with local boundary conditions. I: Function spaces and variational principles. (English) Zbl 07879899
Reviewer: Zijia Peng (Nanning)
Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation. (English) Zbl 1543.35214
Pseudo-differential operators on matrix weighted Besov-Triebel-Lizorkin spaces. (English) Zbl 07872550
Extremal functions for a fractional Morrey inequality: symmetry properties and limit at infinity. (English) Zbl 1542.35018
Eigenvalues of the Neumann Laplacian with density and sharp Sobolev-Orlicz embeddings. (English) Zbl 07854905
Concentration-compactness type principle for systems with critical terms in \(\mathbb{R}^N\). (English) Zbl 1542.35412
Boundary triples and Weyl functions for Dirac operators with singular interactions. (English) Zbl 1536.81052
Hutchinson trace estimation for high-dimensional and high-order physics-informed neural networks. (English) Zbl 1539.65024
On the fractional Musielak-Sobolev spaces in \(\mathbb{R}^d\): embedding results & applications. (English) Zbl 1540.35192
On a class of fractional \(p(x,y)\)-Kirchhoff type problems with indefinite weight. (English) Zbl 1537.35393
On the growth of Sobolev norm for the cubic NLS on two dimensional product space. (English) Zbl 1536.35311
Fuglede-type arguments for isoperimetric problems and applications to stability among convex shapes. (English) Zbl 1534.49032
Magnetic fractional Poincaré inequality in punctured domains. (English) Zbl 1536.35015
Reviewer: Nicola Abatangelo (Bologna)
The BPHZ theorem for regularity structures via the spectral gap inequality. (English) Zbl 07804736
Reviewer: Lucio Galeati (Lausanne)
Generalized localization and summability almost everywhere of multiple Fourier series and integrals. (English. Russian original) Zbl 1532.42011
J. Math. Sci., New York 278, No. 3, 408-425 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 4, 634-653 (2022).
A solution operator for the \(\overline \partial\) equation in Sobolev spaces of negative index. (English) Zbl 1531.32050
Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs. (English) Zbl 1528.35162
Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces. (English) Zbl 1528.35208
Fractional \(p\)-Laplacians via Neumann problems in unbounded metric measure spaces. arXiv:2410.18883
Preprint, arXiv:2410.18883 [math.AP] (2024).
On Extended Family of Fractional Sobolev Spaces Via Ultradistributions of Slow Growth. arXiv:2410.09074
Preprint, arXiv:2410.09074 [math.FA] (2024).
Anisotropic fractional Sobolev spaces with variable exponent and application to nonlocal problems. arXiv:2410.02969
Preprint, arXiv:2410.02969 [math.AP] (2024).
Sobolev spaces with mixed weights and the Poisson equation on angular domains. arXiv:2409.18615
Preprint, arXiv:2409.18615 [math.AP] (2024).
On a novel fractional Caputo-derivative Orlicz space. arXiv:2408.01842
Preprint, arXiv:2408.01842 [math.FA] (2024).
A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodeckiĭ spaces. arXiv:2407.08373
Preprint, arXiv:2407.08373 [math.AP] (2024).
Partial Algebras of Sobolev Spaces and their Groupoid Characterization. arXiv:2405.18436
Preprint, arXiv:2405.18436 [math.FA] (2024).
A Note on Explicit Convergence Rates of Nonlocal Peridynamic Operators in \(L^q\)-Norm. arXiv:2402.16303
Preprint, arXiv:2402.16303 [math.AP] (2024).
Elliptic problem in an exterior domain driven by a singularity with a nonlocal Neumann condition. (English) Zbl 07877798
A variational theory for integral functionals involving finite-horizon fractional gradients. (English) Zbl 1537.49017
\(\eta\)-invariant for parameter-dependent boundary value problems. (English) Zbl 07820479
Reviewer: Luigi Rodino (Torino)
A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double-phase equations. (English) Zbl 1532.35104
Mengesha, Tadele (ed.) et al., A\(^3\)N\(^2\)M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 253-293 (2023).
Nonlocal diffusion models with consistent local and fractional limits. (English) Zbl 1532.65110
Mengesha, Tadele (ed.) et al., A\(^3\)N\(^2\)M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 175-213 (2023).
A Vázquez-type strong minimum/maximum principle for partial trace operators. (English) Zbl 1532.35095
Stochastic homogenization on perforated domains. III: General estimates for stationary ergodic random connected Lipschitz domains. (English) Zbl 1533.35017
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators. (English) Zbl 1537.81093
Mean-square approximation of iterated Ito and Stratonovich stochastic integrals: method of generalized multiple Fourier series. Application to numerical integration of Ito SDEs and semilinear SPDEs. 3rd edition. (English) Zbl 1528.60002
Sign-changing solution for a generalized Kirchhoff problem in the fractional Orlicz-Sobolev space with nonsmooth nonlinearity. (English) Zbl 1531.35361
Small perturbations of critical nonlocal equations with variable exponents. (English) Zbl 1526.35299
Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem. (English) Zbl 1531.13020
Reviewer: Lorenzo Baldi (Paris)
Some notes on functions of least \(W^{s,1}\)-fractional seminorm. (English) Zbl 1526.35287
“Bruno Pini” Mathematical Analysis Seminar 2022. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 38-57 (2023).
On a class of degenerate fractional \(p(.)\)-Laplacian problems with variable order and variable exponent. (English) Zbl 07747493
Transport of Gaussian measures with exponential cut-off for Hamiltonian PDEs. (English) Zbl 1529.35438
Existence and multiplicity of solutions for critical nonlocal equations with variable exponents. (English) Zbl 1523.35285
\(L^2\)-\(L^p\) estimates and Hilbert-Schmidt pseudo differential operators on the Heisenberg motion group. (English) Zbl 1523.35315
An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces. (English) Zbl 1538.65387
Non-local gradients in bounded domains motivated by continuum mechanics: fundamental theorem of calculus and embeddings. (English) Zbl 1541.26017
Symmetrically global pseudo-differential operators involving the Weinstein transform. (English) Zbl 1542.47063
Elliptic theory in domains with boundaries of mixed dimension. (English) Zbl 07722428
Astérisque 442. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-974-6/pbk). viii, 139 p. (2023).
Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets. (English) Zbl 1519.35354
On convergence of Fourier series in discrete Jacobi-Sobolev spaces. (English) Zbl 1519.42007
Reviewer: Sorin Gheorghe Gal (Oradea)
A two-level variational algorithm in the Sobolev-Orlicz space to predict daily surface reflectance at LANDSAT high spatial resolution and MODIS temporal frequency. (English) Zbl 1518.49028
Subordinated Gaussian random fields in elliptic partial differential equations. (English) Zbl 1518.60059
Rough pseudodifferential operators on Hardy spaces for Fourier integral operators. (English) Zbl 1517.42023
Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations. (English) Zbl 07700753
Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations. (English) Zbl 07699030
Deriving mixed state of light field by partial tracing pure state in higher dimension. (English) Zbl 07697563
MSC:
82-XX
The concentration-compactness principle for the nonlocal anisotropic \(p\)-Laplacian of mixed order. (English) Zbl 1516.35454
Canonical potential and \(L^p\)-Sobolev space involving linear canonical Fourier transform. (English) Zbl 1523.43004
A critical elliptic problem involving exponential and singular nonlinearities. (English) Zbl 1509.35341
Existence of solutions for fractional \(p\&q\)-Laplacian system involving critical sandwich-type nonlinearities. (English) Zbl 1512.35612
Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group. (English) Zbl 1512.35701
Algebraic topological techniques for elliptic problems involving fractional Laplacian. (English) Zbl 1511.35373
Improved Sobolev regularity for linear nonlocal equations with VMO coefficients. (English) Zbl 1511.35361
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