A note on evolution equation on manifold
نویسندگان
چکیده
In the present paper, considering differential equations on smooth closed manifolds, we investigate and establish well-posedness of boundary value problems nonlocal type for parabolic also hyperbolic in H?lder spaces. Furthermore, various norms new coercivity estimates solutions such manifolds as well.
منابع مشابه
Note on a Nonlinear Evolution Equation for the Risk Preference
We propose a singular nonlinear partial differential equation (PDE), which describes the evolution of the risk preference in the optimal investment problem under the random risk process. The quantity is related to the Arrow-Pratt coefficient of relative risk aversion with respect to the optimal value function. We prove an existence theorem for this PDE.
متن کاملDirac equation on a G2 manifold
We find a large family of solutions to the Dirac equation on a manifold of G2 holonomy asymptotic to a cone over S × S, including all radial solutions. The behaviour of these solutions is studied as the manifold developes a conical singularity. None of the solutions found are both localised and square integrable at the origin. This result is consistent with the absence of chiral fermions in M-t...
متن کاملThe Orr-sommerfeld Equation on a Manifold
The most eeective and widely used methods for integrating the Orr-Sommerfeld equation by shooting are the continuous orthogonalization method and the compound matrix method. In this paper, we consider this problem from a diierential-geometric point of view. A new deenition of orthogonalization is presented: restriction of the Orr-Sommerfeld to a complex Stiefel manifold, and this deenition lead...
متن کاملA Note on Solving Prandtl's Integro-Differential Equation
A simple method for solving Prandtl's integro-differential equation is proposed based on a new reproducing kernel space. Using a transformation and modifying the traditional reproducing kernel method, the singular term is removed and the analytical representation of the exact solution is obtained in the form of series in the new reproducing kernel space. Compared with known investigations, its ...
متن کاملA note on unique solvability of the absolute value equation
It is proved that applying sufficient regularity conditions to the interval matrix $[A-|B|,A + |B|]$, we can create a new unique solvability condition for the absolute value equation $Ax + B|x|=b$, since regularity of interval matrices implies unique solvability of their corresponding absolute value equation. This condition is formulated in terms of positive deniteness of a certain point matrix...
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: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2115031a