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New posts in maximum-principle
Maximum Modulus Exercise
complex-analysis
optimization
maximum-principle
Maximum value of a complex polynomial on the unit disk
complex-analysis
maximum-principle
Proof of weak maximum principle for heat-type equations
differential-geometry
partial-differential-equations
solution-verification
riemannian-geometry
maximum-principle
$f$ analytic in $\overline{\mathbb{D}}$ s.t $\int_{|z|=1}|f(z)-z||dz|\leq\frac{1}{100}$. Prove that $f$ has at least one zero in $\mathbb{D}$.
complex-analysis
complex-integration
analytic-functions
maximum-principle
If $f$ is a non-constant analytic function on $B$ such that $|f|$ is a constant on $\partial B$, then $f$ must have a zero in $B$ [duplicate]
complex-analysis
maximum-principle
Heat Equation $u_{t} - \Delta u + u u_x + uu_y = 0$
partial-differential-equations
heat-equation
maximum-principle
If $u_k$ converges uniformly on $\partial \Omega$, does it converge uniformly on $\Omega$?
partial-differential-equations
harmonic-functions
maximum-principle
Show that exist a function $u$ continuous in $\overline{\Omega}$ [duplicate]
partial-differential-equations
harmonic-functions
maximum-principle
Maximum principle question for heat equation problem
partial-differential-equations
heat-equation
maximum-principle
parabolic-pde
Does there exist a holomorphic function with the following property?
complex-analysis
analyticity
maximum-principle
Does exist an holomorphic function $f$ on $|z|>1$, non-constant, and bounded by the limit at $\infty$?
complex-analysis
maximum-principle
Prove that f is one-to-one on D
complex-analysis
analyticity
maximum-principle
How come, in the heat equation, the maximum can not be attained on the upper boundary of the rectangle we construct?
analysis
partial-differential-equations
heat-equation
maximum-principle
How to show that the imaginary part of a function assumes its maximum on the boundary of a compact set [duplicate]
complex-analysis
holomorphic-functions
maximum-principle
Why maximum principle holds for scalar conservation law?
partial-differential-equations
maximum-principle
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