On two initial boundary value problems for the generalized KdV equation
Results on nonlocal well-posedness are established for initial boundary value problems for the generalized KdV equation in a bounded rectangle and a half-strip under natural assumptions on initial and boundary data. The considerable part of the study is devoted to special solutions of the linearized...
Saved in:
| Published in: | Нелинейные граничные задачи |
|---|---|
| Date: | 2004 |
| Main Author: | Faminskii, A.V. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169174 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On two initial boundary value problems for the generalized KdV equation / A.V. Faminskii // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 58-71. — Бібліогр.: 9 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
The Integrability of New Two-Component KdV Equation
by: Popowicz, Z.
Published: (2010)
by: Popowicz, Z.
Published: (2010)
KdV Flow on Generalized Reflectionless Potentials
by: Kotani, S.
Published: (2008)
by: Kotani, S.
Published: (2008)
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
by: Xue, L.L., et al.
Published: (2014)
by: Xue, L.L., et al.
Published: (2014)
Bäcklund-Darboux Transformations for Super KdV Type Equations
by: Xue, Lingling, et al.
Published: (2025)
by: Xue, Lingling, et al.
Published: (2025)
Lagrangian Approach to Dispersionless KdV Hierarchy
by: Choudhuri, A., et al.
Published: (2007)
by: Choudhuri, A., et al.
Published: (2007)
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
by: Ormerod, C.M.
Published: (2014)
by: Ormerod, C.M.
Published: (2014)
Rational KdV Potentials and Differential Galois Theory
by: Jiménez, S., et al.
Published: (2019)
by: Jiménez, S., et al.
Published: (2019)
Space Curves and Solitons of the KP Hierarchy. I. The 𝑙-th Generalized KdV Hierarchy
by: Kodama, Yuji, et al.
Published: (2021)
by: Kodama, Yuji, et al.
Published: (2021)
Construction of KdV Flow I.
τ-Function via Weyl Function
by: Kotani, Shinichi
Published: (2018)
by: Kotani, Shinichi
Published: (2018)
Construction of KdV Flow I. τ-Function via Weyl Function
by: Sh. Kotani
Published: (2018)
by: Sh. Kotani
Published: (2018)
Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order
by: Faminskii, A.V., et al.
Published: (2008)
by: Faminskii, A.V., et al.
Published: (2008)
Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
by: Maeda, K., et al.
Published: (2013)
by: Maeda, K., et al.
Published: (2013)
Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
by: Fujioka, A., et al.
Published: (2014)
by: Fujioka, A., et al.
Published: (2014)
Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3
by: Ayano, T., et al.
Published: (2019)
by: Ayano, T., et al.
Published: (2019)
On the initial-boundary-value problem in a half-strip for a generalized Kawahara equation
by: M. A. Opritova, et al.
Published: (2014)
by: M. A. Opritova, et al.
Published: (2014)
Two-point boundary-value problems for differential equations with generalized piecewise-constant argument
by: A. T. Assanova, et al.
Published: (2024)
by: A. T. Assanova, et al.
Published: (2024)
Two-point boundary-value problems for differential equations with generalized piecewise-constant argument
by: Assanova, Anar T., et al.
Published: (2024)
by: Assanova, Anar T., et al.
Published: (2024)
On the initial boundary-value problem for the integro-differential equation of third order
by: A. T. Asanova, et al.
Published: (2019)
by: A. T. Asanova, et al.
Published: (2019)
Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations
by: Tedeev, A. F., et al.
Published: (1992)
by: Tedeev, A. F., et al.
Published: (1992)
Asymptotics of Rarefaction Wave Solution to the mKdV Equation
by: Minakov, A.
Published: (2011)
by: Minakov, A.
Published: (2011)
Asymptotics of Rarefaction Wave Solution to the mKdV Equation
by: A. Minakov
Published: (2011)
by: A. Minakov
Published: (2011)
On generalized solutions of boundary value problems for some general differential equations
by: Burskii, V.P.
Published: (1999)
by: Burskii, V.P.
Published: (1999)
Global solutions of a two-dimensional initial boundary-value problem for a system of semilinear magnetoelasticity equations
by: Botsenyuk, А. N., et al.
Published: (1996)
by: Botsenyuk, А. N., et al.
Published: (1996)
Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
by: A. L. Gladkov, et al.
Published: (2016)
by: A. L. Gladkov, et al.
Published: (2016)
Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
by: Gladkov, A. L., et al.
Published: (2016)
by: Gladkov, A. L., et al.
Published: (2016)
Initial-boundary-value problems for quasilinear degenerate hyperbolic equations with damping. Neumann problem
by: Tedeev, A. F., et al.
Published: (2006)
by: Tedeev, A. F., et al.
Published: (2006)
Boundary-value problems with initial jumps for singularly perturbed integro-differential equation
by: M. K. Dauylbaev, et al.
Published: (2016)
by: M. K. Dauylbaev, et al.
Published: (2016)
On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations
by: Nguyen Manh Hung, et al.
Published: (2003)
by: Nguyen Manh Hung, et al.
Published: (2003)
On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations
by: Nguyen, Manh Hung, et al.
Published: (2003)
by: Nguyen, Manh Hung, et al.
Published: (2003)
Two-point boundary value problems for differential-operator equations
by: Y. Eidelman, et al.
Published: (2016)
by: Y. Eidelman, et al.
Published: (2016)
Initial-Boundary Value Problem for the Maxwell-Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function
by: Filipkovska, Maria
Published: (2023)
by: Filipkovska, Maria
Published: (2023)
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
by: Gerdjikov, V.S., et al.
Published: (2008)
by: Gerdjikov, V.S., et al.
Published: (2008)
On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel
by: Zolotenko, G.F.
Published: (2001)
by: Zolotenko, G.F.
Published: (2001)
General conditions for the unique solvability of initial-value problem for nonlinear functional differential equations
by: Dil'na, N. Z., et al.
Published: (2008)
by: Dil'na, N. Z., et al.
Published: (2008)
Asymptotic Behavior of Solutions of Linear Singularly Perturbed General Separated Boundary-Value Problems with Initial Jump
by: Kasymov, K. A., et al.
Published: (2003)
by: Kasymov, K. A., et al.
Published: (2003)
Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations
by: Bazalii, B. V., et al.
Published: (1993)
by: Bazalii, B. V., et al.
Published: (1993)
Study of the spectral stability of generalized Runge - Kutta methods applied to initial-boundary value problems for equations of parabolic type. II. Implicit methods
by: A. P. Jankovskij
Published: (2016)
by: A. P. Jankovskij
Published: (2016)
Study of the spectral stability of generalized Runge – Kutta methods applied to initial-boundary value problems for equations of parabolic type. I. Explicit methods
by: A. P. Jankovskij
Published: (2016)
by: A. P. Jankovskij
Published: (2016)
Initial-boundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity
by: Bokalo, M., et al.
Published: (2014)
by: Bokalo, M., et al.
Published: (2014)
Initial-boundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity
by: M. Bokalo, et al.
Published: (2014)
by: M. Bokalo, et al.
Published: (2014)
Similar Items
-
The Integrability of New Two-Component KdV Equation
by: Popowicz, Z.
Published: (2010) -
KdV Flow on Generalized Reflectionless Potentials
by: Kotani, S.
Published: (2008) -
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
by: Xue, L.L., et al.
Published: (2014) -
Bäcklund-Darboux Transformations for Super KdV Type Equations
by: Xue, Lingling, et al.
Published: (2025) -
Lagrangian Approach to Dispersionless KdV Hierarchy
by: Choudhuri, A., et al.
Published: (2007)