## Volume 8 (2010)

**SPECIAL VOLUME IN HONOR OF PROF. PETER D. LAX**

*Special Issue in Honor of Prof. Peter D. Lax*

The Special Volume is aimed at celebrating mathematical contributions of Professor Peter D. Lax from Courant Institute of New York; one of the greatest mathematicians of all the time. The special volume will encompass original research papers and expository articles from all areas and subareas of mathematical analysis; in particular, we welcome papers in areas in which Prof. Lax has played a significant role. These are, but not limited to, partial differential equations, differential equations, operator theory, numerical analysis, linear algebra and its applications, functional analysis, harmonic analysis, complex analysis, etc.

Authors are required to state clearly the contribution of the paper and its significance in the introduction. The submission of a manuscript (in PDF for the initial submission) for publication must be made electronically through one of the Guest Editors. Submitted papers must be original and well-written. Badly written papers will be automatically dismissed at the discretion of the editor. Each manuscript (in English or French) should include the title of the paper; author name; a short abstract not exceeding 200 words; the AMS subject classification; keywords; author’s mailing and email addresses, and references. References should be listed in alphabetical order. It is expected that accepted papers be adapted to the template of the special volume provided upon request.

**GUEST EDITORS**

RONGHUA PAN

School of Mathematics

Georgia Institute of Technology

686 Cherry Street

Atlanta, GA 30332, USA

e-mail: panrh@math.gatech.edu

VLADIMIR RABINOVICH

National Polytechnic Institute of Mexico

Av. IPN, ESIME Zacatenco, edif.1

D.F. 07738, Mexico

e-mail: vladimir.rabinovich@gmail.com

### Number 1 - 2010

- The Adjoint Problem on Banach Spaces . Commun. Math. Anal. Vol. 8 (2010). no. 1, pp. 1 - 11 ,
- Asymptotically Outgoing and Incoming Spaces and Quantum Scattering . Commun. Math. Anal. Vol. 8 (2010). no. 1, pp. 12 - 25 ,
- Solving the Poisson Equation on a Surface by Reduction to a 1-Dimensional Problem . Commun. Math. Anal. Vol. 8 (2010). no. 1, pp. 26 - 40 ,
- Lp-Weighted Theory for Navier-Stokes Equations in Exterior Domains . Commun. Math. Anal. Vol. 8 (2010). no. 1, pp. 41 - 69 ,
- Approximating Fixed Points of Contractive Set-Valued Mappings . Commun. Math. Anal. Vol. 8 (2010). no. 1, pp. 70 - 78 ,
- Well-Posedness of Initial Value Problem for Discrete Nonlinear Wave Equations . Commun. Math. Anal. Vol. 8 (2010). no. 1, pp. 79 - 86 ,
- On the Bifurcation of Periodic Orbits in Discontinuous Systems . Commun. Math. Anal. Vol. 8 (2010). no. 1, pp. 87 - 108 ,
- Semigroup Generation and ``hidden" Trace Regularity of a Dynamic Plate with Non-Monotone Boundary Feedbacks . Commun. Math. Anal. Vol. 8 (2010). no. 1, pp. 109 - 144 ,

### Number 2 - 2010

- Interview with Prof. Peter D. Lax . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 1 - 4 ,
- Some Comments on Almost Periodicity and Related Topics . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 5 - 15 ,
- A Characterization of Inner Product Spaces Concerning an Euler--Lagrange Identity . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 16 - 21 ,
- Regular Reflection in Self-similar Potential Flow and the Sonic Criterion . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 22 - 69 ,
- Hyperbolic Systems Modeling Currency Hoarding . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 70 - 91 ,
- A Convex Minorant Problem Arising in Electron Density Theory . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 92 - 102 ,
- Existence of Square-Mean Almost Periodic Solutions to Some Stochastic Hyperbolic Differential Equations with Infinite Delay . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 103 - 124 ,
- Stability of the Pexiderized Cauchy and Jensen's Equations on Restricted Domains . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 125 - 135 ,
- Linking Numbers of Modular Knots . Commun. Math. Anal. Vol. 8 (2010). no. 2, pp. 136 - 144 ,

### Number 3 - 2010

- Initial Boundary Value Problem for Compressible Euler Equations with Relaxation . Commun. Math. Anal. Vol. 8 (2010). no. 3, pp. 1 - 22 ,
- Global Weak Solutions to the 1D Compressible Navier-Stokes Equations with Radiation . Commun. Math. Anal. Vol. 8 (2010). no. 3, pp. 23 - 65 ,
- Nonlinearized Fourier Approach, Gasdynamic Coherence, and Shock-Turbulence Interaction . Commun. Math. Anal. Vol. 8 (2010). no. 3, pp. 66 - 91 ,
- Optimal Conditions of Solvability and Unsolvability of Nonlocal Problems for Essentially Nonlinear Differential Systems . Commun. Math. Anal. Vol. 8 (2010). no. 3, pp. 92 - 101 ,
- On Time-Space Dependent Conservation Laws of Nonlinear Evolution Differential Equations . Commun. Math. Anal. Vol. 8 (2010). no. 3, pp. 102 - 119 ,
- The Stochastic Dynamic Exponential and Geometric Brownian Motion on Isolated Time Scales . Commun. Math. Anal. Vol. 8 (2010). no. 3, pp. 120 - 135 ,
- Regularization Techniques for Machine Learning on Graphs and Networks with Biological Applications . Commun. Math. Anal. Vol. 8 (2010). no. 3, pp. 136 - 145 ,