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This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. Key topics include: * Operators as "sums of squares" of real and complex vector fields: both analytic hypoellipticity and regularity for very low regularity coefficients; * Nonlinear evolution equations: Navier–Stokes system, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals; * Local solvability: its connection with subellipticity, local solvability for systems of vector fields in Gevrey classes; * Hyperbolic equations: the Cauchy problem and multiple characteristics, both positive and negative results. Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource. List of contributors: L. Ambrosio N. Lerner H. Bahouri X. Lu S. Berhanu J. Metcalfe J.M. Bony T. Nishitani N. Dencker V. Petkov S. Ervedoza J. Rauch I. Gallagher M. Reissig J. Hounie L. Stoyanov E. Jannelli D. S. Tartakoff K. Kajitani D. Tataru A. Kurganov F. Treves G. Zampieri E. Zuazua.
Differential equations, Partial.  Microlocal analysis.  Differential equations, Partial  Microlocal analysis  Mathematics  Calculus  Physical Sciences & Mathematics  Partial differential equations  Mathematics.  Mathematical analysis.  Analysis (Mathematics).  Dynamics.  Ergodic theory.  Partial differential equations.  Functions of real variables.  Applied mathematics.  Engineering mathematics.  Physics.  Analysis.  Real Functions.  Dynamical Systems and Ergodic Theory.  Partial Differential Equations.  Mathematical Methods in Physics.  Applications of Mathematics.  Functional analysis  Global analysis (Mathematics).  Differentiable dynamical systems.  Differential equations, partial.  Mathematical physics.  Physical mathematics  Physics  Differential dynamical systems  Dynamical systems, Differentiable  Dynamics, Differentiable  Differential equations  Global analysis (Mathematics)  Topological dynamics  Math  Science  Analysis, Global (Mathematics)  Differential topology  Functions of complex variables  Geometry, Algebraic  Engineering  Engineering analysis  Mathematical analysis  Natural philosophy  Philosophy, Natural  Physical sciences  Dynamics  Ergodic transformations  Continuous groups  Mathematical physics  Measure theory  Transformations (Mathematics)  Dynamical systems  Kinetics  Mechanics, Analytic  Force and energy  Mechanics  Statics  Real variables  517.1 Mathematical analysis
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This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. Key topics include: * Operators as "sums of squares" of real and complex vector fields: both analytic hypoellipticity and regularity for very low regularity coefficients; * Nonlinear evolution equations: NavierStokes system, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals; * Local solvability: its connection with subellipticity, local solvability for systems of vector fields in Gevrey classes; * Hyperbolic equations: the Cauchy problem and multiple characteristics, both positive and negative results. Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource. List of contributors: L. Ambrosio N. Lerner H. Bahouri X. Lu S. Berhanu J. Metcalfe J.M. Bony T. Nishitani N. Dencker V. Petkov S. Ervedoza J. Rauch I. Gallagher M. Reissig J. Hounie L. Stoyanov E. Jannelli D. S. Tartakoff K. Kajitani D. Tataru A. Kurganov F. Treves G. Zampieri E. Zuazua
Ergodic theory. Information theory  Partial differential equations  Differential equations  Mathematical analysis  Mathematics  Mathematical physics  differentiaalvergelijkingen  analyse (wiskunde)  toegepaste wiskunde  wiskunde  fysica  informatietheorie
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This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. Key topics include: * Operators as "sums of squares" of real and complex vector fields: both analytic hypoellipticity and regularity for very low regularity coefficients; * Nonlinear evolution equations: NavierStokes system, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals; * Local solvability: its connection with subellipticity, local solvability for systems of vector fields in Gevrey classes; * Hyperbolic equations: the Cauchy problem and multiple characteristics, both positive and negative results. Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource. List of contributors: L. Ambrosio N. Lerner H. Bahouri X. Lu S. Berhanu J. Metcalfe J.M. Bony T. Nishitani N. Dencker V. Petkov S. Ervedoza J. Rauch I. Gallagher M. Reissig J. Hounie L. Stoyanov E. Jannelli D. S. Tartakoff K. Kajitani D. Tataru A. Kurganov F. Treves G. Zampieri E. Zuazua
Ergodic theory. Information theory  Partial differential equations  Differential equations  Mathematical analysis  Mathematics  Mathematical physics  differentiaalvergelijkingen  analyse (wiskunde)  toegepaste wiskunde  wiskunde  fysica  informatietheorie
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