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Rainer Picard

Prof

  • United Kingdom

20042018
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Research Output 2004 2018

2018

On the well-posedness of a class of non-autonomous SPDEs: an operator-theoretical perspective

Picard, R., Trostorff, S. & Waurick, M., 12 Oct 2018, In : GAMM-Mitteilungen / GAMM-Reports . 16 p., e201800014.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Partial Differential Equations
Well-posedness
partial differential equations
Partial differential equations
Mathematical operators
2017
2 Citations (Scopus)
Electromagnetism
Maxwell System
Extended Systems
Electrodynamics
Maxwell equations

On maximal regularity for a class of evolutionary equations

Picard, R., Trostorff, S. & Waurick, M., 15 May 2017, In : Journal of Mathematical Analysis and Applications. 449, 2, p. 1368-1381 14 p.

Research output: Contribution to journalArticle

Maximal Regularity
Hilbert spaces
Hilbert space
Unbounded Operators
Linear Forms
2016
6 Citations (Scopus)

On abstract grad-div systems

Picard, R., Seilder, S., Trostorff, S. & Waurick, M., 15 Mar 2016, In : Journal of Differential Equations. 260, 6, p. 4888-4917 30 p.

Research output: Contribution to journalArticle

Open Access
File
Hilbert spaces
Mathematical operators
Physics
Boundary conditions
Skew
6 Citations (Scopus)

On a comprehensive class of linear control problems

Picard, R., Trostorff, S. & Waurick, M., 30 Jun 2016, In : IMA Journal of Mathematical Control and Information. 33, 2, p. 257-291 34 p.

Research output: Contribution to journalArticle

Open Access
File
Linear Control
Boundary Control
Control Problem
Geometric Constraints
Maxwell's equations
3 Citations (Scopus)

On some models in linear thermo-elasticity with rational material laws

Mukhopadyay, S., Picard, R., Trostorff, S. & Waurick, M., 1 Oct 2016, In : Mathematics and Mechanics of Solids. 21, 9, p. 1149-1163 15 p.

Research output: Contribution to journalArticle

Thermoelasticity
Elasticity
Inhomogeneity
Well-posedness
Material Properties
7 Citations (Scopus)

On well-posedness for some thermo-piezoelectric coupling models

Mulholland, A. J., Picard, R., Trostorff, S. & Waurick, M., 31 Oct 2016, In : Mathematical Methods in the Applied Sciences. 39, 15, p. 4375-4384 12 p.

Research output: Contribution to journalArticle

Open Access
File
Well-posedness
Sensor
Ultrasonic transducers
Piezoelectric transducers
Sensors
2015
2 Citations (Scopus)

A note on a two-temperature model in linear thermoelasticity

Mukhopadyay, S., Picard, R., Trostorff, S. & Waurick, M., 8 Dec 2015, In : Mathematics and Mechanics of Solids. 22, 5, p. 905-918 14 p.

Research output: Contribution to journalArticle

Thermoelasticity
Abstract Differential Equations
Ordinary differential equations
Ordinary differential equation
Temperature

On a particular construction of skew-selfadjoint operator matrices

Picard, R., Seidler, S., Trostorff, S. & Waurick, M., 21 Oct 2015, In : Proceedings in Applied Mathematics and Mechanics, PAMM. 15, 1, p. 695-696 2 p.

Research output: Contribution to journalConference Contribution

Operator Matrix
Self-adjoint Operator
Initial-boundary-value Problem
Skew
Physics
9 Citations (Scopus)

On evolutionary equations with material laws containing fractional integrals

Picard, R., Trostorff, S. & Waurick, M., 31 Oct 2015, In : Mathematical Methods in the Applied Sciences . 38, 15, p. 3141-3154 14 p.

Research output: Contribution to journalArticle

Fractional Integral
Fractional
Fractional Derivative
Derivatives
Riemann-Liouville Fractional Derivative
6 Citations (Scopus)

On some models for elastic solids with micro-structure

Picard, R., Trostorff, S. & Waurick, M., 31 Jul 2015, In : Zeitschrift fur Angewandte Mathematik und Mechanik. 95, 7, p. 664-689 26 p.

Research output: Contribution to journalArticle

Microstructure
Solid Modeling
Elasticity Theory
Interconnection
Well-posedness
3 Citations (Scopus)

Well-posedness viaMonotonicity—an overview.

Picard, R., Trostorff, S. & Waurick, M., 20 Dec 2015, Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. Arendt, W., Chill, R. & Tomilov, Y. (eds.). Heidelberg: Springer, p. 397-452 56 p. (Operator Theory: Advances and Applications; vol. 250).

Research output: Chapter in Book/Report/Conference proceedingChapter

Well-posedness
Homogenization
Monotonicity
Covering
Physics
2014
3 Citations (Scopus)

A functional analytic perspective to delay differential equations

Picard, R., Trostorff, S. & Waurick, M., 31 Mar 2014, In : Operators and Matrices. 8, 1, p. 217-236 20 p.

Research output: Contribution to journalArticle

Delay Differential Equations
Differential equation
Contraction Mapping
Functional Analysis
Causality
19 Citations (Scopus)

A Hilbert space perspective on ordinary differential equations with memory term

Kalauch, A., Picard, R., Siegmund, S., Trostorff, S. & Waurick, M., 30 Jun 2014, In : Journal of Dynamics and Differential Equations. 26, 2, p. 369-399 31 p.

Research output: Contribution to journalArticle

Memory Term
Ordinary differential equation
Hilbert space
Normal Operator
Neutral Differential Equation

Mathematical transformations

McGhee, D., Picard, R., Trostorff, S. & Waurick, M., 12 Nov 2014, Mathematical Tools for Physicists. Grinfeld, M. (ed.). 2 ed. Weinheim, p. 503-526 24 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

On a class of boundary control problems

Picard, R., Trostorff, S. & Waurick, M., 31 Mar 2014, In : Operators and Matrices. 8, 1, p. 185-204 20 p.

Research output: Contribution to journalArticle

Boundary Control
Boundary Problem
Control Problem
Geometric Constraints
Memory Term

Partial differential equations

McGhee, D., Picard, R., Trostorff, S. & Waurick, M., 12 Nov 2014, Mathematical Tools for Physicists. Grinfeld, M. (ed.). 2 ed. Weinheim, p. 527-550 24 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2013
7 Citations (Scopus)

A note on a class of conservative, well-posed linear control systems

Picard, R., Trostorff, S. & Waurick, M., 29 May 2013, Progress in Partial Differential Equations: Asymptotic Profiles, Regularity and Well-Posedness. Heidelberg: Springer, p. 261-286 26 p. (Springer Proceedings in Mathematics & Statistics; vol. 44).

Research output: Chapter in Book/Report/Conference proceedingChapter

Linear Control Systems
Control Problem
Linear Control
Regularity Properties
Operator
15 Citations (Scopus)

On non-autonomous evolutionary problems

Picard, R., Trostorff, S., Waurick, M. & Wehowski, M., 31 Dec 2013, In : Journal of Evolution Equations. 13, 4, p. 751-776 26 p.

Research output: Contribution to journalArticle

Evolution Family
Nonautonomous Equation
Invariant
Kelvin
Well-posedness
2012

Well-posedness and conservativity for linear control systems (part 1)

Picard, R., Trostorff, S. & Waurick, M., 3 Dec 2012, In : Proceedings in Applied Mathematics and Mechanics, PAMM. 12, 1, p. 777-778 2 p.

Research output: Contribution to journalConference Contribution

Linear control systems
Linear Control Systems
Hilbert spaces
Well-posedness
Control systems

Well-posedness and conservativity for linear control systems (part 2)

Picard, R., Trostorff, S. & Waurick, M., 3 Dec 2012, In : Proceedings in Applied Mathematics and Mechanics, PAMM. 12, 1, p. 779-780 2 p.

Research output: Contribution to journalConference Contribution

Linear control systems
Linear Control Systems
Well-posedness
Linear Control
Regularity Properties
2011
1 Citation (Scopus)

A class of evolutionary operators and its applications to electroseismic waves in anisotropic, inhomogeneous media

McGhee, D. & Picard, R., 2011, In : Operators and Matrices. 5, 4, p. 665-678 14 p.

Research output: Contribution to journalArticle

File
Inhomogeneous Media
Dynamic Linear Models
Operator
Well-posedness
Initial-boundary-value Problem
2004

Electrodynamics with non-linear constitutive laws and memory effects

McGhee, D. F. & Picard, R. H., 24 Jul 2004, p. 14.

Research output: Contribution to conferencePaper

Open Access
File
electrodynamics
Maxwell equation
electromagnetic fields
time lag
propagation