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2015•Yingyong shuxue yu jisuan shuxue xuebaoRequires access

Initial-boundary value problem with Neumann boundary condition for equation of relativistic strings moving

Fenglun Wei

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Abstract

The mixed initial-boundary value problem for the equation of relativistic strings moving with the inhomogeneous Neumann boundary conditions plays an important role in the string theory and particle physics.This kind of mixed initial-boundary value problem with Neumann boundary conditions is studied in the first quadrant.Under appropriate assumptions on the initial and boundary data,the global existence and the uniqueness of classical solutions are obtained.

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What this paper is about

The mixed initial-boundary value problem for the equation of relativistic strings moving with the inhomogeneous Neumann boundary conditions plays an important role in the string theory and particle physics.This kind of mixed initial-boundary value problem with Neumann boundary conditions is studied in the first quadrant.Under appropriate assumptions on the initial and boundary data,the global existence and the uniqueness of classical solutions are obtained.

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Available abstract

The mixed initial-boundary value problem for the equation of relativistic strings moving with the inhomogeneous Neumann boundary conditions plays an important role in the string theory and particle physics.This kind of mixed initial-boundary value problem with Neumann boundary conditions is studied in the first quadrant.Under appropriate assumptions on the initial and boundary data,the global existence and the uniqueness of classical solutions are obtained.

Key concepts: Neumann boundary condition, Boundary value problem, Mixed boundary condition, Uniqueness, Mathematics, Robin boundary condition, Mathematical analysis, Boundary conformal field theory

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