Found 457 Documents (Results 1–100)
Maximal regularity and optimal control for a non-local Cahn-Hilliard tumour growth model. (English) Zbl 07923711
Some remarks on the higher regularity of minimizers of anisotropic functionals. (English) Zbl 07906610
Regularity for nonuniformly elliptic equations with \(p, q\)-growth and explicit \(x, u\)-dependence. (English) Zbl 07892811
A regularity result for nonuniformly elliptic equations with lower order terms. (English) Zbl 07887996
Mixed virtual element methods for elliptic optimal control problems with boundary observations in \(L^2(\Gamma)\). (English) Zbl 1543.65199
BV estimates on the transport density with Dirichlet region on the boundary. (English) Zbl 07882876
Reviewer: Siran Li (Shanghai)
A priori Lipschitz estimates for nonlinear equations with mixed local and nonlocal diffusion via the adjoint-Bernstein method. (English) Zbl 1542.35099
On the regularity of multipliers and second-order optimality conditions of KKT-type for semilinear parabolic control problems. (English) Zbl 1539.35138
Reviewer: Jaarat Gasimov (Famagusta)
On the dimension of the singular set in optimization problems with measure constraint. (English) Zbl 1537.35426
A nonlinear elliptic PDE from atmospheric science: well-posedness and regularity at cloud edge. (English) Zbl 1536.49026
Regularity results for isoperimetric sets with density. (English) Zbl 1534.49030
“Bruno Pini” Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 22-41 (2024).
Reviewer: Savin Treanţă (Bucureşti)
Local estimates for vectorial Rudin-Osher-Fatemi type problems in one dimension. (English) Zbl 1534.49027
Reviewer: Savin Treanţă (Bucureşti)
Not uniformly continuous densities and the local everywhere Hölder continuity of weak solutions of vectorial problems. (English) Zbl 1533.35089
Regularity theory for parabolic systems with Uhlenbeck structure. (English. French summary) Zbl 1535.35029
Reviewer: Lubomira Softova (Fisciano)
Optimal control problems for the reaction-diffusion-convection equation with variable coefficients. (English) Zbl 1528.35112
Partial regularity for variational integrals with Morrey-Hölder zero-order terms, and the limit exponent in Massari’s regularity theorem. arXiv:2410.03338
Preprint, arXiv:2410.03338 [math.AP] (2024).
Fine Structure of Singularities in Area-Minimizing Currents Mod\((q)\). arXiv:2403.15889
Preprint, arXiv:2403.15889 [math.AP] (2024).
Towards a Schauder theory for fractional viscous Hamilton–Jacobi equations. arXiv:2403.03884
Preprint, arXiv:2403.03884 [math.AP] (2024).
Fully discrete pointwise smoothing error estimates for measure valued initial data. (English) Zbl 1541.65102
Reviewer: Baasansuren Jadamba (Rochester)
Optimal control of Hughes’ model for pedestrian flow via local attraction. (English) Zbl 1540.35420
Reviewer: Baasansuren Jadamba (Rochester)
On the boundary behavior of mass-minimizing integral currents. (English) Zbl 1534.49001
Memoirs of the American Mathematical Society 1446. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6695-4/pbk; 978-1-4704-7679-3/ebook). v, 166 p. (2023).
Reviewer: Antonio Masiello (Bari)
Interior continuity, continuity up to the boundary, and Harnack’s inequality for double-phase elliptic equations with nonlogarithmic conditions. (English) Zbl 1533.35051
Reviewer: Abimbola Abolarinwa (Lagos)
Asymptotic method and transient terms in exact controls. (English) Zbl 1523.35269
Reviewer: Krishnan Balachandran (Coimbatore)
A remark on the geometric interpretation of the A3w condition from optimal transport. (English) Zbl 1542.49038
Reviewer: Wiesław Kotarski (Sosnowiec)
Optimal regularity of isoperimetric sets with Hölder densities. (English) Zbl 1523.49044
Reviewer: Giorgio Saracco (Firenze)
Acoustic full waveform inversion via optimal control: first- and second-order analysis. (English) Zbl 1530.35331
Reviewer: Sylvain Ervedoza (Bordeaux)
Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations. (English) Zbl 1519.35042
Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness. (English) Zbl 07680912
Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 1-22 (2023).
An optimal control problem for the Navier-Stokes equations with point sources. (English) Zbl 1511.35255
The Lezanski-Polyak-Lojasiewicz inequality and the convergence of the gradient projection algorithm. (English) Zbl 07666956
Rethinking data-driven point spread function modeling with a differentiable optical model. (English) Zbl 1510.78023
A global higher regularity result for the static relaxed micromorphic model on smooth domains. arXiv:2307.02621
Preprint, arXiv:2307.02621 [math.AP] (2023).
Rectifiability of flat singular points for area-minimizing mod\((2Q)\) hypercurrents. arXiv:2305.03781
Preprint, arXiv:2305.03781 [math.AP] (2023).
The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than \(1\). arXiv:2304.11555
Preprint, arXiv:2304.11555 [math.AP] (2023).
The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and \(\mathcal{H}^{m-2}\)-a.e. Uniqueness of Tangent Cones. arXiv:2304.11553
Preprint, arXiv:2304.11553 [math.AP] (2023).
The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points. arXiv:2304.11552
Preprint, arXiv:2304.11552 [math.AP] (2023).
Adaptive stochastic gradient descent for optimal control of parabolic equations with random parameters. (English) Zbl 1533.65156
Optimal convergence rates for Galerkin approximation of operator Riccati equations. (English) Zbl 1533.65219
A note on the density of the partial regularity result in the class of viscosity solutions. (English) Zbl 1510.35089
Monotonicity formulas in the calculus of variation. (English) Zbl 1512.49045
Reviewer: Alberto Maione (Freiburg im Breisgau)
On problems of dynamic optimal nodal control for gas networks. (English) Zbl 1506.35250
Reviewer: Alain Brillard (Riedisheim)
Simulation and control of a nonsmooth Cahn-Hilliard Navier-Stokes system with variable fluid densities. (English) Zbl 1502.49015
Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 211-240 (2022).
Metric entropy for Hamilton-Jacobi equations with uniformly directionally convex Hamiltonian. (English) Zbl 1498.49045
From low to high-and lower-optimal regularity of the SMGTJ equation with Dirichlet and Neumann boundary control, and with point control, via explicit representation formulae. (English) Zbl 1496.35403
On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals. (English) Zbl 1497.49049
Smoothness and Liouville type theorem for a system with cubic nonlinearities from biaxial nematic liquid crystals in two dimensions. (English) Zbl 1504.35314
Partial regularity for local minimizers of variational integrals with lower-order terms. (English) Zbl 1497.35015
Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth. (English) Zbl 1494.49025
Second order local minimal-time mean field games. (English) Zbl 1492.35352
NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 37, 32 p. (2022); correction ibid. 29, No. 4, Paper No. 51, 2 p. (2022).
Optimal convergence of finite element approximation to an optimization problem with PDE constraint. (English) Zbl 1493.65202
Boundary regularity for elliptic systems with \(p,q\)-growth. (English) Zbl 1487.35147
Reviewer: Maria Alessandra Ragusa (Catania)
Higher differentiability of solutions for a class of obstacle problems with variable exponents. (English) Zbl 1482.49035
On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation. (English) Zbl 1524.65893
Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems. (English) Zbl 1481.35172
An estimate concerning the difference between minimizer and boundary value in some polyconvex problems. (English) Zbl 1523.49039
Reviewer: Alberto Maione (Barcelona)
Time-dependent tug-of-war games and normalized parabolic \(p\)-Laplace equations. (English) Zbl 1477.35277
Regularity of the stationary density for systems with fast random switching. arXiv:2212.03632
Preprint, arXiv:2212.03632 [math.PR] (2022).
Global semiconcavity of solutions to first-order Hamilton-Jacobi equations with state constraints. arXiv:2205.01615
Preprint, arXiv:2205.01615 [math.AP] (2022).
Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters. (English) Zbl 1492.35394
Distributed optimal control of the 2D Cahn-Hilliard-Oberbeck-Boussinesq system for nonisothermal viscous two-phase flows. (English) Zbl 1507.35196
Gradient estimates of \(\omega\)-minimizers to double phase variational problems with variable exponents. (English) Zbl 1483.49049
Reviewer: Luca Esposito (Fisciano)
Regularity and global structure for Hamilton-Jacobi equations with convex Hamiltonian. (English) Zbl 1480.35100
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. (English) Zbl 1483.35297
Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations. (English) Zbl 1483.35304
Error estimates for optimal control problems involving the Stokes system and Dirac measures. (English) Zbl 1473.35440
On fractional and nonlocal parabolic mean field games in the whole space. (English) Zbl 1489.35283
Reviewer: Solden Stoll (Seattle)
MSC:
35Q89
35Q84
35Q91
91A16
47G20
35A01
35A02
35A09
35B65
35B45
35D30
35S10
35K61
35K08
49L12
45K05
26A33
35R11
Error estimate for indirect spectral approximation of optimal control problem governed by fractional diffusion equation with variable diffusivity coefficient. (English) Zbl 1507.65196
Reviewer: Michael Jung (Dresden)
Remarks on parabolic De Giorgi classes. (English) Zbl 1472.35077
Reviewer: Vincenzo Vespri (Firenze)
Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type. (English) Zbl 1469.49003
Long-time behaviour of degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes. (English) Zbl 1469.35031
Recovering the weight function in distributed order fractional equation from interior measurement. (English) Zbl 1486.65154
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials. (English) Zbl 1486.35392
Appl. Math. Optim. 83, No. 3, 2017-2049 (2021); correction ibid. 84, No. 3, 3569-3570 (2021).
Reviewer: Alain Brillard (Riedisheim)
New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints. (English) Zbl 1473.35609
Stability and convergence of second order backward differentiation schemes for parabolic Hamilton-Jacobi-Bellman equations. (English) Zbl 1480.65204
Harnack’s inequality for quasilinear elliptic equations with generalized Orlicz growth. (English) Zbl 1466.35064
Recent developments in problems with nonstandard growth and nonuniform ellipticity. (English) Zbl 1467.49003
Reviewer: Bülent Karasözen (Ankara)
Boundary regularity of minimizers of double phase functionals. (English) Zbl 1467.35080
Reviewer: Maria Alessandra Ragusa (Catania)
Lorentz estimates to nonlinear elliptic obstacle problems of \(p(x)\)-growth in Reifenberg domains. (English) Zbl 1470.35373
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