Non Completely Solvable Systems of Complex First Order PDE's
نویسندگان
چکیده
منابع مشابه
First Order Pdes
1. Systems of 1st order ordinary differential equations 2 1.1. Existence of solutions 2 1.2. Uniqueness 4 1.3. Differentiability of solutions with respect to a parameter 6 2. Quasi-linear pdes 10 2.1. Step 1 10 2.2. Step 2 11 2.3. Cauchy problem 11 3. Degenerate case 12 4. Examples 14 4.1. Example 1 14 4.2. Example 2 14 4.3. Example 3 14 4.4. A maximum principle for a first order pde 15 5. Full...
متن کاملSpace-Time Adaptive Solution of First Order PDES
An explicit time-stepping method is developed for adaptive solution of time-dependent partial differential equations with first order derivatives. The space is partitioned into blocks and the grid is refined and coarsened in these blocks. The equations are integrated in time by a Runge-KuttaFehlberg method. The local errors in space and time are estimated and the time and space steps are determ...
متن کاملIntrinsic Regular Graphs in Heisenberg Groups vs. Weak Solutions of Non Linear First-order Pdes
We continue to study Hregular graphs, a class of intrinsic regular hypersurfaces in the Heisenberg group H = C × R ≡ R endowed with a leftinvariant metric d∞ equivalent to its CarnotCarathéodory metric. Here we investigate their relationships with suitable weak solutions of nonlinear firstorder PDEs. As a consequence this implies some of their geometric properties: a uniqueness result for Hregu...
متن کاملSymbolic Solutions of Simultaneous First-order PDEs in One Unknown
We propose and implement an algorithm for solving an overdetermined system of partial differential equations in one unknown. Our approach relies on Bour-Mayer method to determine compatibility conditions via Jacobi-Mayer brackets. We solve compatible systems recursively by imitating what one would do with pen and paper: Solve one equation, substitute the solution into the remaining equations an...
متن کاملA method for finding exact solutions to hyperbolic systems of first-order PDEs
Differential constraints are used as a means of developing a systematic method for finding exact solutions to quasilinear nonautonomous hyperbolic systems of first-order partial differential equations (PDEs) involving two independent variables. The leading assumption of the hyperbolicity of the basic system together with a strict compatibility argument permits characterization of the most gener...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rendiconti del Seminario Matematico della Università di Padova
سال: 2013
ISSN: 0041-8994
DOI: 10.4171/rsmup/129-9