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On the global strong solutions of coupled Klein-Gordon-Schrödinger equations

Nakao Hayashi, Wolf von Wahl

Journal of the Mathematical Society of Japan · 1987 · 95 citations · 2 references

Open access

Concepts

Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsTheoretical PhysicsBoundary ConditionsBoundary-value ProblemsQuantum Field TheorySchrödinger EquationCoupled Schrödinger EquationsDirichlet Boundary ConditionsDirichlet ConditionsElliptic Boundary-value ProblemsInitial Boundary ConditionsInitial-boundary Value ProblemsKlein-gordon EquationStrong Solutions

Abstract

In this paper we will consider the following system of equations in three space dimensions:

References

2

A note on limiting cases of sobolev embeddings and convolution inequalities

Haïm Brézis, Stephen Wainger · Communications in Partial Differential Equations · 1980 · 525 citations

Natural Sciences, Electrical Engineering, Mathematical Physics +7

Nonlinear Schrödinger evolution equations

Haïm Brézis, Thierry Gallouët · Nonlinear Analysis · 1980 · 498 citations

Natural Sciences, Mathematics, Physics +12