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Communications on Pure and Applied Mathematics, ISSN 0010-3640, 05/2014, Volume 67, Issue 5, pp. 776 - 870
We study approximations to a class of vector‐valued equations of Burgers type driven by a multiplicative space‐time white noise. A solution theory for this... 
MATHEMATICS | MATHEMATICS, APPLIED | BURGERS | DRIVEN | LATTICE APPROXIMATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 12/2017, Volume 273, Issue 12, pp. 3875 - 3900
We prove an abstract Nash–Moser implicit function theorem which, when applied to control and Cauchy problems for PDEs in Sobolev class, is sharp in terms of... 
Control of PDEs | Nash–Moser implicit function theorem | Quasi-linear PDEs | MATHEMATICS | Nash-Moser implicit function theorem | PERTURBATIONS | WELL-POSEDNESS | MANIFOLDS | BOUNDARY | EVOLUTION-EQUATIONS | LOCAL-CONTROLLABILITY
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 08/2012, Volume 231, Issue 20, pp. 6770 - 6789
Journal Article
Annals of Probability, ISSN 0091-1798, 2019, Volume 47, Issue 2, pp. 804 - 834
The boundary behaviour of solutions of stochastic PDEs with Dirichlet boundary conditions can be surprisingly-and in a sense, arbitrarily-bad: as shown by... 
Boundary regularity | Dirichlet problem | Stochastic partial differential equations | SPDES | CONSTANT-COEFFICIENTS | boundary regularity | PARTIAL-DIFFERENTIAL-EQUATIONS | SOBOLEV SPACE THEORY | STATISTICS & PROBABILITY
Journal Article
Annals of Probability, ISSN 0091-1798, 05/2018, Volume 46, Issue 3, pp. 1651 - 1709
Journal Article
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2019
In an infinite dimensional Hilbert space we consider a family of commuting analytic vector fields vanishing at the origin and which are nonlinear perturbations... 
Dynamical Systems | Analysis of PDEs | Mathematics
Journal Article
Automatica, ISSN 0005-1098, 09/2016, Volume 71, pp. 300 - 307
We solve the problem of stabilizing a general class of linear first-order hyperbolic systems. Considered systems feature an arbitrary number of coupled... 
Hyperbolic partial differential equations | Stabilization | Backstepping | OPEN CHANNELS | SYSTEMS | BOUNDARY CONTROL | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Mineral industry | Mining industry | Analysis of PDEs | Mathematics
Journal Article
Advances in Engineering Software, ISSN 0965-9978, 2011, Volume 42, Issue 12, pp. 1020 - 1034
( ) is a suite of free software tools for applications on Isogeometric Analysis (IGA). Its main focus is on providing a common framework for the implementation... 
Finite element method | Octave | Isogeometric Analysis | B-Splines | NURBS | Matlab | REFINEMENT | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FINITE-ELEMENTS | APPROXIMATION | FORMULATION | Design engineering | Discretization | Partial differential equations | Tools | Software | Philosophy | Computer programs | Software engineering
Journal Article
Acta Numerica, ISSN 0962-4929, 04/2015, Volume 24, pp. 1 - 159
Journal Article
Automatica, ISSN 0005-1098, 01/2018, Volume 87, pp. 281 - 289
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 08/2018, Volume 63, Issue 8, pp. 2421 - 2436
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2016, Volume 270, Issue 9, pp. 3344 - 3452
We provide in this work a semigroup approach to the study of singular PDEs, in the line of the paracontrolled approach developed recently by Gubinelli,... 
Analysis of PDEs | Probability | Mathematics
Journal Article
Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2015, Volume 67, Issue 4, pp. 1551 - 1604
We prove a version of the Wong-Zakai theorem for one-dimensional parabolic nonlinear stochastic PDEs driven by space-time white noise. As a corollary, we... 
Approximation | Stochastic PDEs | Pathwise solutions | MATHEMATICS | stochastic PDEs | approximation | pathwise solutions | PARTIAL-DIFFERENTIAL EQUATIONS
Journal Article
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, ISSN 0363-0129, 2019, Volume 57, Issue 2, pp. 1390 - 1412
Journal Article
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