The Szeg\"o Cubic Equation

Nehari, Z. : On bounded bilinear forms

1957

Earlier work this paper cites.

Yudovich, V. I.: Non-stationary flows of an ideal incompressible fluid

1963

Earlier work this paper cites.

Kronecker, L. : Zur Theorie der Elimination einer Variablen aus zwei algebraische Gleischungen

1968

Earlier work this paper cites.

Lax, P. : Integrals of Nonlinear equations of Evolution and Solitary Waves

1968

Earlier work this paper cites.

Zakharov, V. E., Shabat, A. B.: Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media

1972

Earlier work this paper cites.

Lax, P. : Periodic solutions of the the KdV equation

1975

Earlier work this paper cites.

Arnold, V.I., Mathematical Methods of Classical Mechanics

1978

Earlier work this paper cites.

Brezis, H., Gallouët, T.: Nonlinear Schrödinger evolution equations

1980

Earlier work this paper cites.

Rudin, W.: Real and Complex Analysis

1980

Earlier work this paper cites.

Weinstein, M. Nonlinear Schrödinger equations and sharp interpolation estimates

1982

Earlier work this paper cites.

Vladimirov, M. V.: On the solvability of a mixed problem for a nonlinear equation of Schrödinger type

1984

Earlier work this paper cites.

Weinstein, M.: Lyapunov stability of ground states of nonlinear dispersive evolution equations

1986

Cited alongside, same era.

Grillakis, M., Shatah, J., Strauss, W., Stability theory of solitary waves in the presence of symmetry. II

1990

Cited alongside, same era.

Ogawa, T. : A proof of Trudinger’s inequality and its application to nonlinear Schrödinger equations

1990

Cited alongside, same era.

Birnir, B., Kenig, C., Ponce, G., Svansted, N., Vega, L.: On the ill-posedness of the IVP for the generalized KdV and nonlinear Schrödinger equation

1996

Cited alongside, same era.

Bourgain, J.: Refinements of Strichartz’ inequality and applications to 2D NLS with critical nonlinearity

1998

Cited alongside, same era.

Peller, V. V.: Hankel operators and their applications

2003

Later among the works it cites.

Tzvetkov, N.: A la frontière entre EDP semi et quasi linéaires

2003

Later among the works it cites.

Burq, N., Gérard, P., Tzvetkov, N.: Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds

2004

Later among the works it cites.

Burq, N., Gérard, P., Tzvetkov, N.: Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces

2005

Later among the works it cites.

Burq, N., Gérard, P., Tzvetkov, N.: Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

2005

Later among the works it cites.

Gérard, P.: Nonlinear Schrödinger equations in inhomogeneous media: wellposednes and illposedness results