References
- Fokas , A S . 2001 . Two Dimensional Linear PDEs in a Convex Polygon . Proc. R. Soc. Lond. , A457 : 371 – 393 .
- Ben-Avraham , D and Fokas , A S . 2001 . The Modified Helmholtz Equation in a Triangular Domain and an Application to Diffusion-Limited Coalescence . Phys. Rev. E , 36 : 01614–1 – 016114–6 .
- Fokas , A S and Kapaev , A A . 2003 . On a Transform Method for the Laplace Equation in a Polygon . IMA J. Appl. Maths. , 68 to appear
- Crowdy D Fokas A S Explicit Integral Solutions for the Plane Elastostatic Semi-Strip, Preprint, 2002
- Fokas , A S and Pelloni , B . 2001 . Two-Point Boundary Value Problems for Linear Evolution Equations . Math. Proc. Camb. Phil. Soc. , 131 : 1 – 23 .
- Pelloni B Well-Posed Boundary Value Problems for Linear Evolution Equations on a Finite Interval, Proc. Camb. Phil. Soc. (2003), to appear
- Fokas , A S and Pelloni , B . 2000 . Method for Solving Moving Boundary Value Problems for Linear Evolution Equations . Phys. Rev. Lett. , 84 : 4785 – 4789 . Integrable Evolution Equations in Time Dependent Domains, Inverse Problems 17 (2001), 919–935
- Fokas , A S . 2003 . A New Transform Method for Evolution Equations . IMA J. App. Math. , 67 : 559 – 590 .
- Fokas , A S and Zyskin , M . 2002 . The Fundamental Differential Form and Boundary Value Problems . Quart. J. Mech. Appl. Math. , 55 : 457 – 479 .
- Fokas , A S . 2002 . Nonlinear Integrable Evolution Equations on the Half-Line . Comm. Math. Phys. , 230 : 1 – 39 .
- Fokas A S A R Sung L Y The Nonlinear Schrödinger Equation on the Half Line, Preprint, 2001. Its
- Ehrenpreis , L . 1970 . Fourier Analysis in Several Complex Variables , New York–London–Sydney : Wiley-Interscience Publishers .
- Palamodov V P Linear Differential Operators with Constant Coefficients, Springer-Verlag, 1970
- Henkin G Method of Integral Representations in Complex Analysis, Encyclopedia of Mathe-matical Sciences, Vol. 7: Several Complex Variables, Springer-Verlag, 1990.
- Berndtsson , B and Passare , M . 1989 . Integral Formulas and an Explicit Version of the Fundamental Principle . J. Funct. Anal. , 84 : 358 – 372 . Yger A, Formules de Division at Prolongement Meromorphe, Lecture Notes in Math., Vol. 1295, Springer-Verlag, Berlin, 1987; Rigat S, Version explicite du principe fondamental d’Ehrenpreis–Malgrange–Palamodov dans le cas non homogène, J. Math. Pures Appl. 76 (1997), 777–799
- Fokas A S Sung L Y Initial Boundary Value Problems for Linear Evolution Equations on the Half Line, Preprint, 2001
- Fokas , A S and Schultz , P . 2003 . The Long Time Asymptotics of Moving Boundary Problems Using an Ehrenpreis-Type Representation and its Riemann–Hilbert Nonlinearization . Comm. Pure Appl. Math. , 56 : 517 – 548 .
- Fokas A S Boundary Value Problems for Linear PDEs with Variable Coefficients, Proc. R. Soc. Lond. A, to appear