Publications
70 Entries
2015
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Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics , 2015, Basel: Birkhäuser Verlag, 495 p., (Operator Theory: Advances and Applications, vol. 250)Electronic (full-text) versionResearch output: Book/Report/Anthology > Monograph
2014
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Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces , 2014, In: Journal of Evolution Equations. 14, 4, p. 795-828Electronic (full-text) versionResearch output: Contribution to journal > Research article
2013
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A Riesz type representation for lower semi-continuous, monotone, local functionals on Cc (X)+ , 2013, In: Nonlinear analysis : theory, methods & applications ; an international multidisciplinary journal / A, Theory and methods . 85, p. 17-22Electronic (full-text) versionResearch output: Contribution to journal > Research article
2012
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Dirichlet and Neumann boundary conditions for the p-Laplace operator: what is in between? , 2012, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 142, 5, p. 975-1002Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Every ordinary differential equation with a strict Lyapunov function is a gradient system , 2012, In: Monatshefte für Mathematik. 166, 1, p. 57-72Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow , 2012, In: Czechoslovak mathematical journal / Academy of Sciences of the Czech Republic, Mathematical Institute. 62 (137), p. 335-346Electronic (full-text) versionResearch output: Contribution to journal > Research article
2011
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Stabilization of solutions of dissipative Hamiltonian systems , 2011, In: Journal of Mathematical Analysis and Applications. 380, 2, p. 750-758Electronic (full-text) versionResearch output: Contribution to journal > Research article
2010
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Global existence for quasilinear diffusion equations in isotropic nondivergence form , 2010, In: Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V. 9, 3, p. 523-539Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Gradient systems: Lecture Notes of the 13th International Internet Seminar , 2010, Matfyzpress, 296 p.Research output: Book/Report/Anthology > Monograph
2009
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Application of the Lojasiewicz-Simon gradient inequality to gradient-like evolution equations , 2009, In: Analysis and Applications. 7, 4, p. 351-372Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Operators L1(R+)→X and the norm continuity problem for semigroups , 2009, In: Journal of Functional Analysis. 256, 2, p. 352-384Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Willmore blowups are never compact , 2009, In: Duke Mathematical Journal. 147, 2, p. 345-376Electronic (full-text) versionResearch output: Contribution to journal > Research article
2008
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Generation of cosine families on Lp(0,1) by elliptic operators with Robin boundary conditions , 2008, Functional analysis and evolution equations. Basel: Birkhauser Verlag Basel, p. 113-130Electronic (full-text) versionResearch output: Contribution to book/conference proceedings/anthology/report > Conference contribution
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Lp maximal regularity for second order Cauchy problems is independent of p , 2008, In: Bollettino dell'Unione Matematica Italiana : BUMI. 1, 1, p. 147-157Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Maximal regularity for second order non-autonomous Cauchy problems , 2008, In: Studia Mathematica. 189, 3, p. 205-223Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Three variations on Newton's method , 2008, In: The Mathematics student : a quarterly dedicated to the service of students and teachers of mathematics in India. 77, 1-4, p. 213-229Research output: Contribution to journal > Research article
2007
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Convergence to steady states of solutions of non-autonomous heat equations in RN , 2007, In: Journal of Dynamics and Differential Equations. 19, 3, p. 777-788Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Lp-maximal regularity for non-autonomous evolution equations , 2007, In: Journal of Differential Equations. 237, 1, p. 1-26Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Stability of operator semigroups: ideas and results. Perspectives in operator theory , 2007, Banach Center Publications: Perspectives in operator theory. Warsaw: Polish Academy of Sciences, Vol. 75. p. 71-109Electronic (full-text) versionResearch output: Contribution to book/conference proceedings/anthology/report > Conference contribution
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Uniqueness theorems for (sub-)harmonic functions with applications to operator theory , 2007, In: Proceedings of the London Mathematical Society. 95, 3, p. 687-708Electronic (full-text) versionResearch output: Contribution to journal > Research article
2006
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Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations , 2006, In: Journal of Differential Equations. 228, 2, p. 611-632Electronic (full-text) versionResearch output: Contribution to journal > Research article
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Convergence to steady state of solutions of the Cahn-Hilliard and Caginalp equations with dynamic boundary conditions , 2006, In: Mathematische Nachrichten. 279, 13-14, p. 1448-1462Electronic (full-text) versionResearch output: Contribution to journal > Research article
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The Lojasiewicz-Simon gradient inequality in Hilbert spaces , 2006, Proceedings of the 5th European-Maghrebian Workshop on Semigroup Theory, Evolution Equations, and Applications. Jendoubi, M. A. (ed.).p. 25-36Research output: Contribution to book/conference proceedings/anthology/report > Conference contribution
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The sector of analyticity of nonsymmetric submarkovian semigroups generated by elliptic operators , 2006, In: Comptes Rendus Mathematique. 342, 12, p. 909-914Electronic (full-text) versionResearch output: Contribution to journal > Research article
2005
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Convergence to steady states of solutions of semilinear evolutionary integral equations , 2005, In: Calculus of Variations and Partial Differential Equations. 22, p. 321-342Electronic (full-text) versionResearch output: Contribution to journal > Research article
Memoirs
- R. Chill, Fourier transforms and asymptotics of evolution equations, Dissertation, Universität Ulm, 1998.
- R. Chill, Taubersche Sätze und Asymptotik des abstrakten Cauchy-Problems, Diplomarbeit, Universität Tübingen, 1995.