## Abstract We use the method proposed by H. Kumano‐go in the classical case to construct a parametrix of the equation $ \textstyle {{\partial u} \over {\partial t}}$ + __q__ (__x, D__ )__u__ = 0 where __q__ (__x, D__ ) is a pseudo‐differential operator with symbol in the class introduced by W. Hoh
Processes associated with evolution equations
✍ Scribed by Brian Jefferies
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 954 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
We continue the study of the generalization of Bernstein operators introduced previously, obtained by requiring suitable recursive relations on the binomial-type coefficients. We show that these operators can be used to approximate the solutions of some degenerate second order parabolic problems.
The 'Inverse Scattering Transform' is used to solve a class of nonlinear equations associated with the inverse problem for the one-dimensional Schr6dinger equation with the energy-dependent potential V(k, x) = U(x) + kQ(x). ## 1. INTRODUCTION AND SUMMARY OF RESULTS We present here an extension to