Eigenfunction Estimates: Quantitative bounds and asymptotic behaviours that describe the magnitude and concentration phenomena of eigenfunctions of differential operators.

XUPING ZHANG, JINTAO ZHANG, BO YU, EIGENFUNCTION EXPANSION METHOD FOR MULTIPLE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS WITH POLYNOMIAL NONLINEARITY, SIAM Journal on Numerical Analysis, Vol. 51, No.

This paper proposes a new approach to solve finite-horizon optimal stopping problems for a class of Markov processes that includes one-dimensional diffusions, birth—death processes, and jump ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...