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Proving existence and regularity of a weak solution by a standard Galerkin scheme?

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#partial-differential-equations #regularity-theory-of-pdes
35
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Proving a regularity estimate for $−εu′′ + bu′ = f $

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#boundary-value-problem #regularity-theory-of-pdes #finite-element-method
239
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Regularity of Elliptic partial differential equation with mixed Dirichlet-Robin boundary condition, to prove $u\in H^{2}(\Omega)$

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#functional-analysis #partial-differential-equations #regularity-theory-of-pdes #weak-derivatives #elliptic-equations
161
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How to understand the changes of characteristics when we convert a high order PDE to first order PDEs?

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#partial-differential-equations #regularity-theory-of-pdes #characteristics #linear-pde #hyperbolic-equations
87
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PDE with a non-classical boundary condition

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#partial-differential-equations #regularity-theory-of-pdes #linear-pde #parabolic-pde
188
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Regularity of heat equation with nonhomogeneous boundary conditions

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#partial-differential-equations #heat-equation #regularity-theory-of-pdes
39
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Cauchy Problem as Continuous Operator between Normed Spaces

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#functional-analysis #partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #parabolic-pde
87
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Can first order linear PDE be elliptic?

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#real-analysis #partial-differential-equations #regularity-theory-of-pdes
294
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Regularity of solution for Poisson equation on bounded domains

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#partial-differential-equations #boundary-value-problem #regularity-theory-of-pdes #poissons-equation
122
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variational form of fourth order elliptic equation

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#partial-differential-equations #regularity-theory-of-pdes #variational-analysis
69
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Can we prove elliptic regularity by reducing to a first order system of PDE?

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#partial-differential-equations #regularity-theory-of-pdes #elliptic-equations
336
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Regularity on the Poisson equation on bounded domains

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#partial-differential-equations #boundary-value-problem #regularity-theory-of-pdes #elliptic-equations #poissons-equation
45
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Finite time blow-up for solutions of a quasi-parabolic system

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#functional-analysis #partial-differential-equations #riemannian-geometry #regularity-theory-of-pdes #parabolic-pde
51
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Parameterized ODE: If the data is $C^k$, then so is the solution.

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#ordinary-differential-equations #partial-differential-equations #regularity-theory-of-pdes
94
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Regularity of solution of ODE $\frac{d}{dx}\left(\frac{1}{n^2}v'\right)+k^2 v = 0$

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#ordinary-differential-equations #regularity-theory-of-pdes

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