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Geometric analysis of PDE and several complex variables : [electronic resource] dedicated to Fran�cois Treves / Sagun Chanillo ... [et al.], editors.

Contributor(s): Treves, Francois, 1930- | Chanillo, Sagun, 1955-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 368.Publication details: Providence, R.I. : American Mathematical Society, c2005Description: 1 online resource (ix, 414 p. : ill.)ISBN: 9780821879580 (online)Other title: Geometric analysis of PDE [Spine title]Subject(s): Differential equations, Partial | Functions of several complex variables | Geometric function theoryAdditional physical formats: Geometric analysis of PDE and several complex variables :DDC classification: 515/.353 LOC classification: QA377 | .G4576 2005Online resources: Contents | Contents

Contents:

Cusp-type singularities of real analytic curves in the complex plane / Patrick Ahern and Xianghong Gong -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06770 The F. and M. Riesz property for vector fields / S. Berhanu and J. Hounie -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06771 Gevrey hypo-ellipticity for sums of squares of vector fields: some examples / Antonio Bove -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06772 $W^{1,1}$-maps with values into $S^1$ / Ha�im Brezis, Petru Mironescu and Augusto C. Ponce -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06773 Analytic hypoellipticity and spectral problems for Schr�odinger's equation / Sagun Chanillo -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06774 Formal solutions for higher order nonlinear totally characteristic PDEs with irregular singularities / Hua Chen and Zhuangchu Luo -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06775 Uniqueness of $L^\infty $ solutions for a class of conormal $BV$ vector fields / Ferruccio Colombini and Nicolas Lerner -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06776 Impact of lower order terms on a model PDE in two variables / Paulo D. Cordaro and Nicholas Hanges -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06777 Global analytic hypoellipticity for a class of quasilinear sums of squares of vector fields / Makhlouf Derridj and David S. Tartakoff -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06778 Representations via overdetermined systems / Michael Eastwood -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06779 A semi-explicit fundamental domain for a Picard modular group in complex hyperbolic space / G�abor Francsics and Peter D. Lax -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06780 Complex horospherical transform on real sphere / Simon Gindikin -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06781 On analyticity in space variable of solutions to the KdV equation / Jennifer Gorsky and A. Alexandrou Himonas -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06782 The multinomial distribution and some Bergman kernels / Lars H�ormander -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06783 Several results for holomorphic mappings from $\mathbf {B}^n$ into $\mathbf {B}^N$ / Xiaojun Huang, Shanyu Ji and Dekang Xu -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06784 Whitney and Mizohata structures / Howard Jacobowitz -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06785 One-side Liouville theorems for a class of hypoelliptic ultraparabolic equations / Alessia Elisabetta Kogoj and Ermanno Lanconelli -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06786 Acyclic sheaves in Banach spaces / L�aszl�o Lempert -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06787 A Liouville type theorem for some conformally invariant fully nonlinear equations / Aobing Li and Yan Yan Li -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06788 Norm closure of classical pseudodifferential operators does not contain H�ormander's class / Severino T. Melo -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06789 Remarks on the well-posedness of the nonlinear Cauchy problem / Guy M�etivier -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06790 Representation of solutions of planar elliptic vector fields with degeneracies / Abdelhamid Meziani -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06791 Some recollections of working with Fran�cois Treves / Louis Nirenberg -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06792 Boundary value problems on Lipschitz domains in $\Bbb R^n$ or $\Bbb C^n$ / Mei-Chi Shaw -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06793 Hyperbolic systems well posed in all Gevrey classes / Sergio Spagnolo -- http://www.ams.org/conm/368/ http://dx.doi.org/10.1090/conm/368/06794

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Includes bibliographical references.

Cusp-type singularities of real analytic curves in the complex plane / Patrick Ahern and Xianghong Gong -- The F. and M. Riesz property for vector fields / S. Berhanu and J. Hounie -- Gevrey hypo-ellipticity for sums of squares of vector fields: some examples / Antonio Bove -- $W^{1,1}$-maps with values into $S^1$ / Ha�im Brezis, Petru Mironescu and Augusto C. Ponce -- Analytic hypoellipticity and spectral problems for Schr�odinger's equation / Sagun Chanillo -- Formal solutions for higher order nonlinear totally characteristic PDEs with irregular singularities / Hua Chen and Zhuangchu Luo -- Uniqueness of $L^\infty $ solutions for a class of conormal $BV$ vector fields / Ferruccio Colombini and Nicolas Lerner -- Impact of lower order terms on a model PDE in two variables / Paulo D. Cordaro and Nicholas Hanges -- Global analytic hypoellipticity for a class of quasilinear sums of squares of vector fields / Makhlouf Derridj and David S. Tartakoff -- Representations via overdetermined systems / Michael Eastwood -- A semi-explicit fundamental domain for a Picard modular group in complex hyperbolic space / G�abor Francsics and Peter D. Lax -- Complex horospherical transform on real sphere / Simon Gindikin -- On analyticity in space variable of solutions to the KdV equation / Jennifer Gorsky and A. Alexandrou Himonas -- The multinomial distribution and some Bergman kernels / Lars H�ormander -- Several results for holomorphic mappings from $\mathbf {B}^n$ into $\mathbf {B}^N$ / Xiaojun Huang, Shanyu Ji and Dekang Xu -- Whitney and Mizohata structures / Howard Jacobowitz -- One-side Liouville theorems for a class of hypoelliptic ultraparabolic equations / Alessia Elisabetta Kogoj and Ermanno Lanconelli -- Acyclic sheaves in Banach spaces / L�aszl�o Lempert -- A Liouville type theorem for some conformally invariant fully nonlinear equations / Aobing Li and Yan Yan Li -- Norm closure of classical pseudodifferential operators does not contain H�ormander's class / Severino T. Melo -- Remarks on the well-posedness of the nonlinear Cauchy problem / Guy M�etivier -- Representation of solutions of planar elliptic vector fields with degeneracies / Abdelhamid Meziani -- Some recollections of working with Fran�cois Treves / Louis Nirenberg -- Boundary value problems on Lipschitz domains in $\Bbb R^n$ or $\Bbb C^n$ / Mei-Chi Shaw -- Hyperbolic systems well posed in all Gevrey classes / Sergio Spagnolo --