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Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations
Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations
Autore Berestycki Henri
Edizione [1st ed.]
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 2022
Descrizione fisica 1 online resource (112 pages)
Disciplina 515/.3534
515.3534
Altri autori (Persone) NadinGrégoire
Collana Memoirs of the American Mathematical Society
Soggetto topico Reaction-diffusion equations
Differential equations, Parabolic - Asymptotic theory
Partial differential equations -- Qualitative properties of solutions -- Asymptotic behavior of solutions
Partial differential equations -- Qualitative properties of solutions -- Homogenization; equations in media with periodic structure
Partial differential equations -- Parabolic equations and systems -- Reaction-diffusion equations
Partial differential equations -- Qualitative properties of solutions -- Maximum principles
Partial differential equations -- Parabolic equations and systems -- Second-order parabolic equations
Partial differential equations -- Spectral theory and eigenvalue problems -- General topics in linear spectral theory
Operator theory -- Special classes of linear operators -- Positive operators and order-bounded operators
Calculus of variations and optimal control; optimization -- Hamilton-Jacobi theories, including dynamic programming -- Viscosity solutions
ISBN 9781470472818
1470472813
Classificazione 35B4035B2735K5735B5035K1035P0547B6549L25
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto A general formula for the expansion sets -- Exact asymptotic spreading speed in different frameworks -- Properties of the generalized principal eigenvalues -- Proof of the spreading property -- The homogeneous, periodic and compactly supported cases -- The almost periodic case -- The uniquely ergodic case -- The radially periodic case -- The space-independent case -- The directionally homogeneous case -- Proof of the spreading property with the alternative definition of the expansion sets and applications -- Further examples and other open problems.
Record Nr. UNINA-9910967107303321
Berestycki Henri  
Providence : , : American Mathematical Society, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Hypocoercivity / / Cédric Villani
Hypocoercivity / / Cédric Villani
Autore Villani Cédric <1973->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (141 p.)
Disciplina 515/.3533
Collana Memoirs of the American Mathematical Society
Soggetto topico Differential equations, Partial - Asymptotic theory
Differential equations, Parabolic - Asymptotic theory
Fokker-Planck equation
Transport theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0564-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Part I. = * + ""; ""1. Notation""; ""2. Operators = * + ""; ""3. Coercivity and hypocoercivity""; ""4. Basic theorem""; ""5. Generalization""; ""6. Hypocoercivity in entropic sense""; ""7. Application: The kinetic Fokker-Planck equation""; ""8. The method of multipliers""; ""9. Further applications and open problems""; ""Part II. The auxiliary operator method""; ""10. Assumptions""; ""11. Main theorem""; ""12. Simplified theorem and applications""; ""13. Discussion and open problems""; ""Part III. Fully nonlinear equations""
Record Nr. UNINA-9910480511303321
Villani Cédric <1973->  
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Hypocoercivity / / Cédric Villani
Hypocoercivity / / Cédric Villani
Autore Villani Cédric <1973->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (141 p.)
Disciplina 515/.3533
Collana Memoirs of the American Mathematical Society
Soggetto topico Differential equations, Partial - Asymptotic theory
Differential equations, Parabolic - Asymptotic theory
Fokker-Planck equation
Transport theory
ISBN 1-4704-0564-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Part I. = * + ""; ""1. Notation""; ""2. Operators = * + ""; ""3. Coercivity and hypocoercivity""; ""4. Basic theorem""; ""5. Generalization""; ""6. Hypocoercivity in entropic sense""; ""7. Application: The kinetic Fokker-Planck equation""; ""8. The method of multipliers""; ""9. Further applications and open problems""; ""Part II. The auxiliary operator method""; ""10. Assumptions""; ""11. Main theorem""; ""12. Simplified theorem and applications""; ""13. Discussion and open problems""; ""Part III. Fully nonlinear equations""
Record Nr. UNINA-9910788856503321
Villani Cédric <1973->  
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Hypocoercivity / / Cédric Villani
Hypocoercivity / / Cédric Villani
Autore Villani Cédric <1973->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (141 p.)
Disciplina 515/.3533
Collana Memoirs of the American Mathematical Society
Soggetto topico Differential equations, Partial - Asymptotic theory
Differential equations, Parabolic - Asymptotic theory
Fokker-Planck equation
Transport theory
ISBN 1-4704-0564-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Part I. = * + ""; ""1. Notation""; ""2. Operators = * + ""; ""3. Coercivity and hypocoercivity""; ""4. Basic theorem""; ""5. Generalization""; ""6. Hypocoercivity in entropic sense""; ""7. Application: The kinetic Fokker-Planck equation""; ""8. The method of multipliers""; ""9. Further applications and open problems""; ""Part II. The auxiliary operator method""; ""10. Assumptions""; ""11. Main theorem""; ""12. Simplified theorem and applications""; ""13. Discussion and open problems""; ""Part III. Fully nonlinear equations""
Record Nr. UNINA-9910828130003321
Villani Cédric <1973->  
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
Autore Dancer E. N (Edward Norman), <1946->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1999]
Descrizione fisica 1 online resource (97 p.)
Disciplina 510 s
515/.353
Collana Memoirs of the American Mathematical Society
Soggetto topico Differential equations, Parabolic - Asymptotic theory
Reaction-diffusion equations
Soggetto genere / forma Electronic books.
ISBN 1-4704-0259-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""1. Introduction""; ""2. Main results""; ""3. The center manifold reduction""; ""4. Center manifolds of (1.1), (1.2)""; ""5. The algebraic independence condition""; ""6. Perturbation of the domain""; ""7. A selection of eigenfunctions in high-dimensional eigenspaces""; ""8. Eigenfunctions with separable variables""; ""9. Completion of proofs""; ""References""
Record Nr. UNINA-9910480537103321
Dancer E. N (Edward Norman), <1946->  
Providence, Rhode Island : , : American Mathematical Society, , [1999]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
Autore Dancer E. N (Edward Norman), <1946->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1999]
Descrizione fisica 1 online resource (97 p.)
Disciplina 510 s
515/.353
Collana Memoirs of the American Mathematical Society
Soggetto topico Differential equations, Parabolic - Asymptotic theory
Reaction-diffusion equations
ISBN 1-4704-0259-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""1. Introduction""; ""2. Main results""; ""3. The center manifold reduction""; ""4. Center manifolds of (1.1), (1.2)""; ""5. The algebraic independence condition""; ""6. Perturbation of the domain""; ""7. A selection of eigenfunctions in high-dimensional eigenspaces""; ""8. Eigenfunctions with separable variables""; ""9. Completion of proofs""; ""References""
Record Nr. UNINA-9910788738503321
Dancer E. N (Edward Norman), <1946->  
Providence, Rhode Island : , : American Mathematical Society, , [1999]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
Autore Dancer E. N (Edward Norman), <1946->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1999]
Descrizione fisica 1 online resource (97 p.)
Disciplina 510 s
515/.353
Collana Memoirs of the American Mathematical Society
Soggetto topico Differential equations, Parabolic - Asymptotic theory
Reaction-diffusion equations
ISBN 1-4704-0259-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""1. Introduction""; ""2. Main results""; ""3. The center manifold reduction""; ""4. Center manifolds of (1.1), (1.2)""; ""5. The algebraic independence condition""; ""6. Perturbation of the domain""; ""7. A selection of eigenfunctions in high-dimensional eigenspaces""; ""8. Eigenfunctions with separable variables""; ""9. Completion of proofs""; ""References""
Record Nr. UNINA-9910818128903321
Dancer E. N (Edward Norman), <1946->  
Providence, Rhode Island : , : American Mathematical Society, , [1999]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui