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Rainer Picard

Prof

  • United Kingdom

20042018
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Research Output 2004 2018

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Article
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
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
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
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
2013
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
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