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Schwenninger, Felix L. (ed.) et al., Systems theory and PDEs. Open problems, recent results, and new directions. Based on the first workshop on systems theory and PDEs, WOSTAP, Freiberg, Germany, July 2022. Cham: Birkhäuser. Trends Math., 219-256 (2024).

MSC: 35K90 35K20 47D06 93D25

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Hastir, Anthony; Hosfeld, René; Schwenninger, Felix L.; Wierzba, Alexander A.

BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators. (English) Zbl 07949845

MSC: 35K90 35K58 47D06 93D20 93D25

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Reis, Timo; Schaller, Manuel

Port-Hamiltonian formulation of Oseen flows. (English) Zbl 07949842

Reviewer: Raquel Taboada-Vázquez (A Coruña)

MSC: 35Q35 76D07 37K06 93B07 93C20 35R10

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Chaoui, Abderrazak; Djaghout, Manal

Galerkin mixed finite element method for parabolic \(p\)-biharmonic equation with memory term. (English) Zbl 07948869

S\(\vec{\text{e}}\)MA J. 81, No. 3, 495-509 (2024).

MSC: 65Mxx

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Gan, Weiye; Du, Qiang; Shi, Zuoqiang

\(\varGamma\)-convergence of nonlocal Dirichlet energies with penalty formulations of Dirichlet boundary data. (English) Zbl 07948459

SIAM J. Math. Anal. 56, No. 6, 7439-7462 (2024).

MSC: 49J45 49J55 62G20 65D05 65N12

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Ambrosio, Vincenzo

Least energy solutions for a class of \((p_1, p_2)\)-Kirchhoff-type problems in \(\mathbb{R}^N\) with general nonlinearities. (English) Zbl 07947513

J. Lond. Math. Soc., II. Ser. 110, No. 4, Article ID e13004, 34 p. (2024).

Reviewer: Raffaella Servadei (Arcavata di Rende)

MSC: 35J92 35B06 35A01 35A15

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Vujadinović, Djordjije

The growth rate of harmonic functions in the Fock spaces. (English) Zbl 07946700

Complex Anal. Oper. Theory 18, No. 8, Paper No. 179, 22 p. (2024).

MSC: 31B05 46E15 46E22

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Sutter, Sarina M.; Penz, Markus; Ruggenthaler, Michael; van Leeuwen, Robert; Giesbertz, Klaas J. H.

Solution of the \(\upsilon\)-representability problem on a one-dimensional torus. (English) Zbl 07945786

J. Phys. A, Math. Theor. 57, No. 47, Article ID 475202, 23 p. (2024).

MSC: 81-XX 35-XX

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Kondej, Sylwia; Ślipko, Kacper

Fermi’s golden rule in tunneling models with quantum waveguides perturbed by Kato class measures. (English) Zbl 07945779

J. Phys. A, Math. Theor. 57, No. 46, Article ID 465205, 24 p. (2024).

MSC: 81-XX 82-XX

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Xie, Dexuan

An efficient finite element solver for a nonuniform size-modified Poisson-Nernst-Planck ion channel model. (English) Zbl 07945357

J. Comput. Phys. 519, Article ID 113393, 18 p. (2024).

MSC: 92-08 65N30 35J66 65K10

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De Pádua Farias de Souza Filho, Antônio

Quasilinear biharmonic equations on \(\mathbb{R}^4\) with exponential subcritical growth. (English) Zbl 07944658

Electron. J. Differ. Equ. 2024, Paper No. 65, 16 p. (2024).

MSC: 35J30 31B30 35A01 35A15

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Jarrín, Oscar; Vergara-Hermosilla, Gastón

An \(L^p\)-theory for fractional stationary Navier-Stokes equations. (English) Zbl 07944339

J. Elliptic Parabol. Equ. 10, No. 2, 859-898 (2024).

MSC: 35Q30 35B30 35B53 35B65

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Ambrosio, Vincenzo; Autuori, Giuseppina; Isernia, Teresa

Existence of least energy solutions for a quasilinear Choquard equation. (English) Zbl 07941369

Commun. Pure Appl. Anal. 23, No. 11, 1661-1678 (2024).

MSC: 35J92 35A01 35A15

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Masuda, Hiroki; Mercuri, Lorenzo; Uehara, Yuma

Quasi-likelihood analysis for Student-Lévy regression. (English) Zbl 07941084

Stat. Inference Stoch. Process. 27, No. 3, 761-794 (2024).

MSC: 62Mxx

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Dalmora, André; Imperiale, Alexandre; Imperiale, Sebastien; Moireau, Philippe

A time-domain spectral finite element method for acoustoelasticity: modeling the effect of mechanical loading on guided wave propagation. (English) Zbl 07938786

Wave Motion 129, Article ID 103328, 23 p. (2024).

MSC: 74-XX 78-XX

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Brenner, Susanne C.; Sung, Li-Yeng; Tan, Zhiyu; Zhang, Hongchao

A nonlinear least-squares convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on strictly convex smooth planar domains. (English) Zbl 07937619

Commun. Am. Math. Soc. 4, 607-640 (2024).

MSC: 65N12 65N15 65N30 65K10 90C30 35J60

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Liu, Shuaijun; Huang, Pengzhan; He, Yinnian

Error analysis of BDF-Galerkin FEMs for thermally coupled incompressible MHD with temperature dependent parameters. (English) Zbl 1547.65145

East Asian J. Appl. Math. 14, No. 4, 731-768 (2024).

MSC: 65M60 65M12 65M15 76M10 76W05

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Taira, Kazuaki

A class of semilinear hypoelliptic Robin problems and Morse theory. (English) Zbl 07936954

Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 70, No. 4, 1545-1605 (2024); correction ibid. 70, No. 4, 1607 (2024).

MSC: 35J61 35J25 35A01

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Found 3,313 Documents (Results 1–100)

Non trivial solutions for a system of coupled Ginzburg-Landau equations. (English) Zbl 07980409

Numerical differentiation of the piecewise smooth function by using Fourier extension method. (English) Zbl 07980383

A reduced-dimension method of Crank-Nicolson finite element solution coefficient vectors for the unsteady Burgers equation. (English) Zbl 07980360

Infinitely many small-energy solutions of a nonlinear boundary value problem with Dirichlet-to-Neumann operator. (English) Zbl 07980349

Sobolev compact embeddings in unbounded domains and its applications to elliptic equations. (English) Zbl 07980340

Global existence of solutions to a nonlocal equation with degenerate anisotropic diffusion. (English) Zbl 07980325

Maximal function and Riesz transform characterizations of Hardy spaces associated with homogeneous higher order elliptic operators and ball quasi-Banach function spaces. (English) Zbl 07980136

Multi-resolution isogeometric analysis – efficient adaptivity utilizing the multi-patch structure. (English) Zbl 07979067

The simplified weak Galerkin method with \(\theta\) scheme and its reduced-order model for the elastodynamic problem on polygonal mesh. (English) Zbl 07979050

Finite element methods for 3D interface problems on local anisotropic hybrid meshes. (English) Zbl 07978326

Smooth dynamics of thermoelastic Lamé system with nonlinear boundary damping and source term. (English) Zbl 07978267

Classification of finite Morse index solutions of higher-order Gelfand-Liouville equation. (English) Zbl 07978236

Convergence rate of Tikhonov regularization for identifying parameters in the elastic wave system under a positive condition. (English) Zbl 07976344

Global regularity in a nonlinear relaxed micromorphic continuum on Lipschitz domains. (English) Zbl 07976223

Mesh optimization for the virtual element method: how small can an agglomerated mesh become? (English) Zbl 07974292

Numerical analysis of a 1/2-equation model of turbulence. (English) Zbl 07973242

Optimal design of equilibrium solutions of the Vlasov-Poisson system by an external electric field. (English) Zbl 07973200

On a supercritical Hardy-Sobolev type inequality with logarithmic term and related extremal problem. (English) Zbl 07972414

Numerical approximation for stochastic nonlinear fractional diffusion equation driven by rough noise. (English) Zbl 07971372

Error estimates for a bubble-enriched \(C^0\) interior penalty method to a reduced state constrained elliptic optimal control problem. (English) Zbl 07968706

Spectral analysis of a coupled bending-torsion beam energy harvester: asymptotic results. (English) Zbl 07967998

A conforming mixed finite element method for a coupled Navier-Stokes/transport system modeling reverse osmosis processes. (English) Zbl 07967182

Embedded trace operator for infinite metric trees. (English) Zbl 07964164

Learning nonlocal weights for second-order nonlocal super-resolution. (English) Zbl 07962681

Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions. (English) Zbl 07962051

Existence and \(L^{\infty}\)-estimates of the solutions to a class of inclusion problems. (English) Zbl 07960922

On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams. (English) Zbl 07959765

Hegselmann-Krause model with environmental noise. (English) Zbl 07959112

Mixed finite element method for multi-layer elastic contact systems. (English) Zbl 07958818

Lower bounds for piecewise polynomial approximations of oscillatory functions. (English) Zbl 07957096

Higher-order Sobolev embeddings into spaces of Campanato and Morrey type. (English) Zbl 07955740

Unconditionally superconvergence error analysis of an energy-stable finite element method for Schrödinger equation with cubic nonlinearity. (English) Zbl 07954701

Long-time behaviors of wave equations stabilized by boundary memory damping and friction damping. (English) Zbl 07954695

Convergence and superconvergence analysis for a mass conservative, energy stable and linearized BDF2 scheme of the Poisson-Nernst-Planck equations. (English) Zbl 07954669

Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows. (English) Zbl 07952206

Treatment of 3D diffusion problems with discontinuous coefficients and Dirac curvilinear sources. (English) Zbl 07952196

A novel least squares approach generating approximations orthogonal to the null space of the operator. (English) Zbl 07952194

Optimal control for Darcy’s equation in a heterogeneous porous media. (English) Zbl 07952190

Reduced projection method for photonic moiré lattices. (English) Zbl 07951584

Existence, uniqueness and interior regularity of viscosity solutions for a class of Monge-Ampère type equations. (English) Zbl 07950079

Precise Laplace approximation for mixed rough differential equation. (English) Zbl 07950073

Parallel finite-element codes for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates. (English) Zbl 07947923

Weak solvability of elliptic variational inequalities coupled with a nonlinear differential equation. (English) Zbl 07947274

Nodal solutions for the nonlinear Robin problem in Orlicz spaces. (English) Zbl 07947251

Persistence and positive steady states of a two-stage structured population model with mixed dispersals. (English) Zbl 07947247

Discrete-to-continuum linearization in atomistic dynamics. (English) Zbl 07946855

Density of compactly supported smooth functions \(C_C^\infty (\mathbb{R}^d)\) in Musielak-Orlicz-Sobolev spaces \(W^{1, \Phi} (\Omega)\). (English) Zbl 07945282

Radiation of the energy-critical wave equation with compact support. (English) Zbl 07945275

A chemotaxis model of prey and predator of three species: existence of unique global solutions. (English) Zbl 07940992

Energy decay of some multi-term nonlocal-in-time Moore-Gibson-Thompson equations. (English) Zbl 07940987

Control approach to well-posedness and asymptotic behavior of a queueing system. (English) Zbl 07940985

Trace formula for differential operators with frozen argument. (English) Zbl 07927821

Continuous imbedding theorems in Musielak spaces. (English) Zbl 07923643

Local and global existence for the Ericksen-Leslie problem in unbounded domains. (English) Zbl 07922167

On the convergence of a linearly implicit finite element method for the nonlinear Schrödinger equation. (English) Zbl 07974192

Positive solutions for a Kirchhoff-type problem involving Orlicz spaces via sub-supersolution method. (English) Zbl 07974119

Local modification of subdiffusion by initial Fickian diffusion: multiscale modeling, analysis, and computation. (English) Zbl 07973487

An evolutionary mixed variational problem with time-dependent Tresca friction arising from multi-layer viscoelastic contact systems. (English) Zbl 07972987

Regularization of linear inverse problems with irregular noise using embedding operators. (English) Zbl 07970552

Conservative numerical algorithm for simulating thermoelectrical semiconductor device with unconditional optimal convergence analysis. (English) Zbl 07967232

A nonconforming extended virtual element method for Stokes interface problems. (English) Zbl 07967227

Modelling sea ice in the marginal ice zone as a dense granular flow with rheology inferred from discrete element model data. (English) Zbl 07964025

Harmonic and heat flow representations of the Gaussian white noise. (English) Zbl 07963400

Results on a nonlinear wave equation with acoustic and fractional boundary conditions coupling by logarithmic source and delay terms: global existence and asymptotic behavior of solutions. (English) Zbl 07962228

Strong solution of stochastic differential equations with discontinuous and unbounded coefficients. (English) Zbl 07961531

Some useful tools in the study of nonlinear elliptic problems. (English) Zbl 07961111

Metric Sobolev spaces. I: Equivalence of definitions. (English) Zbl 07960925

Existence of positive solution for a class of quasilinear Schrödinger equations with potential vanishing at infinity on nonreflexive Orlicz-Sobolev spaces. (English) Zbl 07959968

Fractional \(p\)-Laplacian elliptic Dirichlet problems. (English) Zbl 07959789

Natural annihilators and operators of constant rank over \(\mathbb{C}\). (English) Zbl 07957824

A basic homogenization problem for the \(p\)-Laplacian in \(\mathbb{R}^d\) perforated along a sphere: \(L^\infty\) estimates. (English) Zbl 07957657

A domain decomposition method for stochastic evolution equations. (English) Zbl 07957569

A new linking theorem for Lipschitz functionals and its application. (English) Zbl 07955186