Found 286 Documents (Results 1–100)
Energy decay for a swelling porous-elastic system with general viscoelastic damping. (English) Zbl 1543.74044
On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs. (English) Zbl 1534.35200
Optimal control in the Dirichlet problem for elliptic equations with degeneration. (Ukrainian. English summary) Zbl 1538.35407
Nitsche’s method for elliptic Dirichlet boundary control problems on curved domains. (English) Zbl 07736699
Nonnegative solutions of the porous medium equation with continuous lateral boundary data. (English) Zbl 1507.35171
Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates. (English) Zbl 1524.65792
Linearized boundary control method for an acoustic inverse boundary value problem. (English) Zbl 1501.35457
Uniform and weak stability of Bresse system with one infinite memory in the shear angle displacements. (English) Zbl 1494.35031
A finite element method for Dirichlet boundary control of elliptic partial differential equations. (English) Zbl 1486.49032
A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem. (English) Zbl 1487.65145
An indirect approach to the existence of quasi-optimal controls in coefficients for multi-dimensional thermistor problem. (English) Zbl 1480.35179
Sadovnichiy, Victor A. (ed.) et al., Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. Underst. Complex Syst., 489-522 (2021).
On Tikhonov regularization of optimal distributed control problem for an ill-posed elliptic equation with \(p\)-Laplace operator and \(L^1\)-type of non-linearity. (English) Zbl 1480.35273
Sadovnichiy, Victor A. (ed.) et al., Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. Underst. Complex Syst., 91-111 (2021).
Adaptive finite element method for Dirichlet boundary control of elliptic partial differential equations. (English) Zbl 1480.65332
Approximations to problems of optimal control of leading coefficients of elliptic equations in nondivergence form with an unbounded nonlinearity in the coefficients. (English. Russian original) Zbl 1468.49031
Differ. Equ. 57, No. 6, 780-804 (2021); translation from Differ. Uravn. 57, No. 6, 796-820 (2021).
Convergence of the natural \(p\)-means for the \(p\)-Laplacian. (English) Zbl 1479.35486
Reviewer: Massimo Lanza de Cristoforis (Padova)
Recovering a potential in damped wave equation from Dirichlet-to-Neumann operator. (English) Zbl 1459.35402
Averaging of Hamilton-Jacobi equations along divergence-free vector fields. (English) Zbl 1458.35030
Inverse spectral and scattering theory. An introduction. (English) Zbl 1467.35001
SpringerBriefs in Mathematical Physics 38. Singapore: Springer (ISBN 978-981-15-8198-4/pbk; 978-981-15-8199-1/ebook). xii, 130 p. (2020).
Reviewer: Lutz Recke (Berlin)
A one dimensional elliptic distributed optimal control problem with pointwise derivative constraints. (English) Zbl 1447.49001
Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Carathéodory spaces. (English) Zbl 1453.35097
Reviewer: Giovanni Anello (Messina)
The regularity of minima for the Dirichlet problem on BD. (English) Zbl 1442.49048
Reviewer: Bülent Karasözen (Ankara)
Regularity of the solution of the scalar Signorini problem in polygonal domains. (English) Zbl 1443.35017
Reviewer: Wenhui Shi (Heidelberg)
Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization. (English) Zbl 1433.49048
Reviewer: Bülent Karasözen (Ankara)
Free boundary regularity for a multiphase shape optimization problem. (English) Zbl 1430.35279
Reviewer: Alain Brillard (Riedisheim)
Superconvergent graded meshes for an elliptic Dirichlet control problem. (English) Zbl 1433.65257
Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 1-16 (2019).
\(p\)-parabolic approximation of total variation flow solutions. (English) Zbl 1436.35250
Reviewer: Igor Bock (Bratislava)
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems. (English) Zbl 1464.65174
IMA J. Numer. Anal. 39, No. 4, 1985-2015 (2019); corrigendum ibid. 40, No. 1, 800 (2020).
Exponential stability for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping. (English) Zbl 1426.35030
Distributed control for time-fractional differential system involving Schrödinger operator. (English) Zbl 1422.49006
HJB equations with gradient constraint associated with controlled jump-diffusion processes. (English) Zbl 1420.49032
On approximation of an optimal control problem for ill-posed strongly nonlinear elliptic equation with \(p\)-Laplace operator. (English) Zbl 1422.35094
Sadovnichiy, Victor A. (ed.) et al., Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. Underst. Complex Syst., 445-480 (2019).
Reconstruction of piecewise smooth wave speeds using multiple scattering. (English) Zbl 1426.35237
Reviewer: Elena V. Tabarintseva (Chelyabinsk)
An optimal control problem for some nonlinear elliptic equations with unbounded coefficients. (English) Zbl 1410.49006
Existence and continuous dependence on parameters of solutions to certain types of differential and integral equations. (English) Zbl 1502.35194
The best recovery of the solution of the Dirichlet problem from inaccurate spectrum of the boundary function. (Russian. English summary) Zbl 1450.49020
On the existence and continuous dependence on parameter of solutions to some fractional Dirichlet problem with application to Lagrange optimal control problem. (English) Zbl 1377.35268
A well posedness result for generalized solutions of Hamilton-Jacobi equations. (English) Zbl 1387.35103
Reviewer: Xiaodan Zhou (Worcester)
Error bounds for a Dirichlet boundary control problem based on energy spaces. (English) Zbl 1359.65098
Inverse problems for partial differential equations. 3rd edition. (English) Zbl 1366.65087
Applied Mathematical Sciences 127. Cham: Springer (ISBN 978-3-319-51657-8/hbk; 978-3-319-51658-5/ebook). xv, 406 p. (2017).
Reviewer: Aleksandar Perović (Berlin)
MSC:
65M32
65N21
35-02
35R30
35R25
35B60
35Q61
35Q86
35Q91
35Q93
31B20
47A52
65J22
65J20
74J25
78A46
80A23
81U40
86A22
91G20
93B07
ADMM and non-convex variational problems. (English) Zbl 1372.65192
Glowinski, Roland (ed.) et al., Splitting methods in communication and imaging, science, and engineering. Cham: Springer (ISBN 978-3-319-41587-1/hbk; 978-3-319-41589-5/ebook). Scientific Computation, 251-299 (2016).
Finite element method and a priori error estimates for Dirichlet boundary control problems governed by parabolic PDEs. (English) Zbl 1372.49004
Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition. (English. Russian original) Zbl 1366.35082
Comput. Math. Math. Phys. 56, No. 12, 2011-2022 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 12, 2042-2053 (2016).
Large solutions and gradient bounds for quasilinear elliptic equations. (English) Zbl 1348.35083
Reviewer: Giovanni Anello (Messina)
Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems. (English) Zbl 1346.65035
Approximation of optimal control problems in the coefficient for the \(p\)-Laplace equation. I: Convergence result. (English) Zbl 1341.35075
Obstacle problems and maximal operators. (English) Zbl 1372.47075
Reviewer: Angkana Rüland (Oxford)
Dirichlet control of elliptic state constrained problems. (English) Zbl 1343.49045
Reviewer: Costică Moroşanu (Iaşi)
Controllability problems for the wave equation on a half-plane and modified Sobolev spaces. (Ukrainian. English summary) Zbl 1340.93019
On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains. (English) Zbl 1330.49037
A nonlinear integral equation and an iterative algorithm for an inverse source problem. (English) Zbl 1323.31006
Shape stability of optimal control problems in coefficients for coupled system of Hammerstein type. (English) Zbl 1326.49007
Global continuation beyond singularities on the boundary for a degenerate diffusive Hamilton-Jacobi equation. (English. French summary) Zbl 1359.35091
Reviewer: Fabio Bagagiolo (Trento)
Continuity properties of Neumann-to-Dirichlet maps with respect to the \(H\)-convergence of the coefficient matrices. (English) Zbl 1320.49005
Optimal control in matrix-valued coefficients for nonlinear monotone problems: optimality conditions II. (English) Zbl 1318.49040
Constrained and unconstrained rearrangement minimization problems related to the \(p\)-Laplace operator. (English) Zbl 1311.49011
Reviewer: Claudia Simionescu-Badea (Wien)
MSC:
49J20
A multidimensional stochastic singular control problem via Dynkin game and Dirichlet form. (English) Zbl 1311.93090
Optimal control in matrix-valued coefficients for nonlinear monotone problems: optimality conditions. I. (English) Zbl 1307.49005
Iterative solution methods for mesh approximation of control and state constrained optimal control problem with observation in a part of the domain. (English) Zbl 1316.65063
Reviewer: Armin Hoffmann (Ilmenau)
On optimality conditions for optimal control problem in coefficients for \(\Delta_p\)-Laplacian. (English) Zbl 1308.49018
Reviewer: Claudia Simionescu-Badea (Wien)
On uniform positivity of transition densities of small noise constrained diffusions. (English) Zbl 1329.60276
Optimal control of solutions of the Showalter-Sidorov-Dirichlet problem for the Boussinesq-Love equation. (English. Russian original) Zbl 1297.49008
Differ. Equ. 49, No. 11, 1356-1365 (2013); translation from Differ. Uravn. 49, No. 11, 1390-1398 (2013).
Reviewer: Ryszard Gessing (Gliwice)
Energy decay for degenerate Kirchhoff equations with weakly nonlinear dissipation. (English) Zbl 1308.35034
A game interpretation of the Neumann problem for fully nonlinear parabolic and elliptic equations. (English) Zbl 1283.49028
Bid-ask spread modelling, a perturbation approach. (English) Zbl 1281.91200
Dalang, Robert C. (ed.) et al., Seminar on stochastic analysis, random fields and applications VII. Centro Stefano Franscini, Ascona (Ticino), Switzerland, May 23–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0544-5/hbk; 978-3-0348-0545-2/ebook). Progress in Probability 67, 411-434 (2013).
Maximax rearrangement optimization related to a homogeneous Dirichlet problem. (English) Zbl 1354.49009
Transformation operators of the Sturm-Liouville problem in controllability problems for the wave equation on a half-axis. (English) Zbl 1266.93018
On the Dirichlet problem for variational integrals in BV. (English) Zbl 1260.49079
Reviewer: Jan Lovíšek (Bratislava)
On application of optimal control methods to the solution of the Cauchy-Dirichlet problem for a second order elliptic equation. (English) Zbl 1276.35064
Optimal control problems in coefficients for degenerate equations of monotone type: shape stability and attainability problems. (English) Zbl 1246.49039
The stochastic reflection problem in Hilbert spaces. (English) Zbl 1245.60072
Reviewer: Sophia L. Kalpazidou (Thessaloniki)
Carleman inequality and null controllability for parabolic equations. (English) Zbl 1316.93023
Reviewer: Vladimir L. Makarov (Kyïv)
Homogenization of an optimal control problem with state-constraints. (English) Zbl 1258.49027
Reviewer: Claudia Simionescu-Badea (Wien)
A smooth embedding domain method based on the penalty approach. (English) Zbl 1246.65230
Reviewer: Ariadna Lucia Pletea (Iaşi)
Parametric optimization for a hyperbolic equation in divergence form with a pointwise state constraint. II. (English. Russian original) Zbl 1227.49005
Differ. Equ. 47, No. 5, 726-737 (2011); translation from Differ. Uravn. 47, No. 5, 726-737 (2011).
Mixed finite element method for Dirichlet boundary control problem governed by elliptic PDEs. (English) Zbl 1228.49034
Controllability problems for the non-homogeneous string that is fixed at the right end point and has the Dirichlet boundary control at the left end point. (English) Zbl 1226.93028
An optimization method for acoustic inverse obstacle scattering problems with multiple incident waves. (English) Zbl 1379.76018
An inverse source problem with single Dirichlet type measured output data for a linear parabolic equation. (English) Zbl 1216.35173
Stability of solutions for nonlinear wave equations with a positive-negative damping. (English) Zbl 1213.35080
On a hyperbolic coefficient inverse problem via partial dynamic boundary measurements. (English) Zbl 1200.35321
On shape stability of Dirichlet optimal control problems in coefficients for nonlinear elliptic equations. (English) Zbl 1194.35147
Optimal control of singularly perturbed advection-diffusion-reaction problems. (English) Zbl 1193.65106
Reviewer: Hans Benker (Merseburg)
A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. (English) Zbl 1187.65073
Reviewer: Bülent Karasözen (Ankara)
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